Solve by Completing the Square -2x^2+4x+3=0

Math
Subtract from both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Simplify each term.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Cancel the common factor of and .
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Factor out of .
Move the negative one from the denominator of .
Rewrite as .
Multiply by .
Dividing two negative values results in a positive value.
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .
Add the term to each side of the equation.
Simplify the equation.
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Raise to the power of .
Simplify .
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Raise to the power of .
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Add and .
Factor the perfect trinomial square into .
Solve the equation for .
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Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
Simplify the right side of the equation.
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Rewrite as .
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Evaluate the exponent.
Simplify the numerator.
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Combine using the product rule for radicals.
Multiply by .
Remove parentheses.
Add to both sides of the equation.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve by Completing the Square -2x^2+4x+3=0


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