(x+11)(x-6)=-30

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Solution for (x+11)(x-6)=-30 equation:


Simplifying
(x + 11)(x + -6) = -30

Reorder the terms:
(11 + x)(x + -6) = -30

Reorder the terms:
(11 + x)(-6 + x) = -30

Multiply (11 + x) * (-6 + x)
(11(-6 + x) + x(-6 + x)) = -30
((-6 * 11 + x * 11) + x(-6 + x)) = -30
((-66 + 11x) + x(-6 + x)) = -30
(-66 + 11x + (-6 * x + x * x)) = -30
(-66 + 11x + (-6x + x2)) = -30

Combine like terms: 11x + -6x = 5x
(-66 + 5x + x2) = -30

Solving
-66 + 5x + x2 = -30

Solving for variable 'x'.

Reorder the terms:
-66 + 30 + 5x + x2 = -30 + 30

Combine like terms: -66 + 30 = -36
-36 + 5x + x2 = -30 + 30

Combine like terms: -30 + 30 = 0
-36 + 5x + x2 = 0

Factor a trinomial.
(-9 + -1x)(4 + -1x) = 0

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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-9, 4}

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