Solve Using the Quadratic Formula (4t^2)/5=(7t)/5+9/10

Math
Move all the expressions to the left side of the equation.
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Subtract from both sides of the equation.
Subtract from both sides of the equation.
Multiply through by the least common denominator , then simplify.
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Apply the distributive property.
Simplify.
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Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
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Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
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Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
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Simplify the numerator.
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Raise to the power of .
Multiply by .
Multiply by .
Add and .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Multiply by .
Simplify .
The final answer is the combination of both solutions.
Solve Using the Quadratic Formula (4t^2)/5=(7t)/5+9/10


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