Solve for x |x^2-2x|=24

Math
Remove the absolute value term. This creates a on the right side of the equation because .
Set up the positive portion of the solution.
Solve the first equation for .
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Move to the left side of the equation by subtracting it from both sides.
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Set equal to and solve for .
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Set the factor equal to .
Add to both sides of the equation.
Set equal to and solve for .
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Set the factor equal to .
Subtract from both sides of the equation.
The solution is the result of and .
Set up the negative portion of the solution.
Solve the second equation for .
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Move to the left side of the equation by adding it to both sides.
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 .
Subtract from .
Rewrite as .
Rewrite as .
Rewrite as .
Rewrite as .
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Factor out of .
Rewrite as .
Pull terms out from under the radical.
Move to the left of .
Multiply by .
Simplify .
The final answer is the combination of both solutions.
The solution to the equation includes both the positive and negative portions of the solution.
Solve for x |x^2-2x|=24


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