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Simplifying (x + -6) = (x + -6)(x + 6) Reorder the terms: (-6 + x) = (x + -6)(x + 6) Remove parenthesis around (-6 + x) -6 + x = (x + -6)(x + 6) Reorder the terms: -6 + x = (-6 + x)(x + 6) Reorder the terms: -6 + x = (-6 + x)(6 + x) Multiply (-6 + x) * (6 + x) -6 + x = (-6(6 + x) + x(6 + x)) -6 + x = ((6 * -6 + x * -6) + x(6 + x)) -6 + x = ((-36 + -6x) + x(6 + x)) -6 + x = (-36 + -6x + (6 * x + x * x)) -6 + x = (-36 + -6x + (6x + x2)) Combine like terms: -6x + 6x = 0 -6 + x = (-36 + 0 + x2) -6 + x = (-36 + x2) Solving -6 + x = -36 + x2 Solving for variable 'x'. Reorder the terms: -6 + 36 + x + -1x2 = -36 + x2 + 36 + -1x2 Combine like terms: -6 + 36 = 30 30 + x + -1x2 = -36 + x2 + 36 + -1x2 Reorder the terms: 30 + x + -1x2 = -36 + 36 + x2 + -1x2 Combine like terms: -36 + 36 = 0 30 + x + -1x2 = 0 + x2 + -1x2 30 + x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + x + -1x2 = 0 Factor a trinomial. (6 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {6, -5}
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