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

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


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

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

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

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

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

Solving
-99 + 2x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {-11, 9}

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