Pre-Algebra Examples

Solve for x y=-2x^2+16x-24
Step 1
Rewrite the equation as .
Step 2
Subtract from both sides of the equation.
Step 3
Use the quadratic formula to find the solutions.
Step 4
Substitute the values , , and into the quadratic formula and solve for .
Step 5
Simplify.
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Step 5.1
Simplify the numerator.
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Step 5.1.1
Raise to the power of .
Step 5.1.2
Multiply by .
Step 5.1.3
Apply the distributive property.
Step 5.1.4
Multiply by .
Step 5.1.5
Multiply by .
Step 5.1.6
Subtract from .
Step 5.1.7
Factor out of .
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Step 5.1.7.1
Factor out of .
Step 5.1.7.2
Factor out of .
Step 5.1.7.3
Factor out of .
Step 5.1.8
Rewrite as .
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Step 5.1.8.1
Factor out of .
Step 5.1.8.2
Rewrite as .
Step 5.1.8.3
Add parentheses.
Step 5.1.9
Pull terms out from under the radical.
Step 5.2
Multiply by .
Step 5.3
Simplify .
Step 6
The final answer is the combination of both solutions.