x^2+11x=-11x-105

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Solution for x^2+11x=-11x-105 equation:


Simplifying
x2 + 11x = -11x + -105

Reorder the terms:
11x + x2 = -11x + -105

Reorder the terms:
11x + x2 = -105 + -11x

Solving
11x + x2 = -105 + -11x

Solving for variable 'x'.

Reorder the terms:
105 + 11x + 11x + x2 = -105 + -11x + 105 + 11x

Combine like terms: 11x + 11x = 22x
105 + 22x + x2 = -105 + -11x + 105 + 11x

Reorder the terms:
105 + 22x + x2 = -105 + 105 + -11x + 11x

Combine like terms: -105 + 105 = 0
105 + 22x + x2 = 0 + -11x + 11x
105 + 22x + x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
105 + 22x + x2 = 0

Factor a trinomial.
(15 + x)(7 + x) = 0

Subproblem 1

Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15

Subproblem 2

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Solution

x = {-15, -7}

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