Finite Math Examples

Apply the Quadratic Formula 6(16x^2-40x+25)+3
Step 1
Set equal to .
Step 2
Simplify the left side.
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Step 2.1
Simplify .
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Step 2.1.1
Simplify each term.
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Step 2.1.1.1
Apply the distributive property.
Step 2.1.1.2
Simplify.
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Step 2.1.1.2.1
Multiply by .
Step 2.1.1.2.2
Multiply by .
Step 2.1.1.2.3
Multiply by .
Step 2.1.2
Add and .
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 .
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Step 5.1.2.1
Multiply by .
Step 5.1.2.2
Multiply by .
Step 5.1.3
Subtract from .
Step 5.1.4
Rewrite as .
Step 5.1.5
Rewrite as .
Step 5.1.6
Rewrite as .
Step 5.1.7
Rewrite as .
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Step 5.1.7.1
Factor out of .
Step 5.1.7.2
Rewrite as .
Step 5.1.8
Pull terms out from under the radical.
Step 5.1.9
Move to the left of .
Step 5.2
Multiply by .
Step 5.3
Simplify .