Finite Math Examples

Solve for x u=(7x+1)(2-3x)
Step 1
Rewrite the equation as .
Step 2
Simplify .
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Step 2.1
Expand using the FOIL Method.
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Step 2.1.1
Apply the distributive property.
Step 2.1.2
Apply the distributive property.
Step 2.1.3
Apply the distributive property.
Step 2.2
Simplify and combine like terms.
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Step 2.2.1
Simplify each term.
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Step 2.2.1.1
Multiply by .
Step 2.2.1.2
Rewrite using the commutative property of multiplication.
Step 2.2.1.3
Multiply by by adding the exponents.
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Step 2.2.1.3.1
Move .
Step 2.2.1.3.2
Multiply by .
Step 2.2.1.4
Multiply by .
Step 2.2.1.5
Multiply by .
Step 2.2.1.6
Multiply by .
Step 2.2.2
Subtract from .
Step 3
Subtract from both sides of the equation.
Step 4
Use the quadratic formula to find the solutions.
Step 5
Substitute the values , , and into the quadratic formula and solve for .
Step 6
Simplify.
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Step 6.1
Simplify the numerator.
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Step 6.1.1
Raise to the power of .
Step 6.1.2
Multiply by .
Step 6.1.3
Apply the distributive property.
Step 6.1.4
Multiply by .
Step 6.1.5
Multiply by .
Step 6.1.6
Add and .
Step 6.2
Multiply by .
Step 6.3
Simplify .
Step 7
The final answer is the combination of both solutions.