Algebra Examples

,
Move to the left side of the equation by subtracting it from both sides.
Factor by grouping.
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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Factor out of .
Rewrite as plus
Apply the distributive property.
Remove parentheses.
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Set equal to and solve for .
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Set the factor equal to .
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Set equal to and solve for .
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Set the factor equal to .
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Divide each term by and simplify.
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Divide each term in by .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Divide by to get .
The solution is the result of and .
The interval contains . Add it to the final solution.
is on the interval
The interval does not contain . It is not part of the final solution.
is not on the interval
The final solution for within the interval is .
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