Finite Math Examples

Apply the Quadratic Formula 3*(x+1)*(x-6)
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 by multiplying through.
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Step 2.1.1.1
Apply the distributive property.
Step 2.1.1.2
Multiply by .
Step 2.1.2
Expand using the FOIL Method.
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Step 2.1.2.1
Apply the distributive property.
Step 2.1.2.2
Apply the distributive property.
Step 2.1.2.3
Apply the distributive property.
Step 2.1.3
Simplify and combine like terms.
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Step 2.1.3.1
Simplify each term.
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Step 2.1.3.1.1
Multiply by by adding the exponents.
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Step 2.1.3.1.1.1
Move .
Step 2.1.3.1.1.2
Multiply by .
Step 2.1.3.1.2
Multiply by .
Step 2.1.3.1.3
Multiply by .
Step 2.1.3.2
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
Add and .
Step 5.1.4
Rewrite as .
Step 5.1.5
Pull terms out from under the radical, assuming positive real numbers.
Step 5.2
Multiply by .
Step 5.3
Simplify .
Step 6
The final answer is the combination of both solutions.