Algebra Examples

Find the Roots (Zeros) (-5x-1)(2x+8)
Step 1
Set equal to .
Step 2
Solve for .
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Step 2.1
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 2.2
Set equal to and solve for .
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Step 2.2.1
Set equal to .
Step 2.2.2
Solve for .
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Step 2.2.2.1
Add to both sides of the equation.
Step 2.2.2.2
Divide each term in by and simplify.
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Step 2.2.2.2.1
Divide each term in by .
Step 2.2.2.2.2
Simplify the left side.
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Step 2.2.2.2.2.1
Cancel the common factor of .
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Step 2.2.2.2.2.1.1
Cancel the common factor.
Step 2.2.2.2.2.1.2
Divide by .
Step 2.2.2.2.3
Simplify the right side.
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Step 2.2.2.2.3.1
Move the negative in front of the fraction.
Step 2.3
Set equal to and solve for .
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Step 2.3.1
Set equal to .
Step 2.3.2
Solve for .
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Step 2.3.2.1
Subtract from both sides of the equation.
Step 2.3.2.2
Divide each term in by and simplify.
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Step 2.3.2.2.1
Divide each term in by .
Step 2.3.2.2.2
Simplify the left side.
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Step 2.3.2.2.2.1
Cancel the common factor of .
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Step 2.3.2.2.2.1.1
Cancel the common factor.
Step 2.3.2.2.2.1.2
Divide by .
Step 2.3.2.2.3
Simplify the right side.
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Step 2.3.2.2.3.1
Divide by .
Step 2.4
The final solution is all the values that make true.
Step 3