5(x+9)(x-11)=0

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Solution for 5(x+9)(x-11)=0 equation: 


Simplifying
5(x + 9)(x + -11) = 0

Reorder the terms:
5(9 + x)(x + -11) = 0

Reorder the terms:
5(9 + x)(-11 + x) = 0

Multiply (9 + x) * (-11 + x)
5(9(-11 + x) + x(-11 + x)) = 0
5((-11 * 9 + x * 9) + x(-11 + x)) = 0
5((-99 + 9x) + x(-11 + x)) = 0
5(-99 + 9x + (-11 * x + x * x)) = 0
5(-99 + 9x + (-11x + x2)) = 0

Combine like terms: 9x + -11x = -2x
5(-99 + -2x + x2) = 0
(-99 * 5 + -2x * 5 + x2 * 5) = 0
(-495 + -10x + 5x2) = 0

Solving
-495 + -10x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-99 + -2x + x2) = 0

Factor a trinomial.
5((-9 + -1x)(11 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-9, 11}

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