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Simplifying 6x(x + 3) + -3x(x + -7) = -36 Reorder the terms: 6x(3 + x) + -3x(x + -7) = -36 (3 * 6x + x * 6x) + -3x(x + -7) = -36 (18x + 6x2) + -3x(x + -7) = -36 Reorder the terms: 18x + 6x2 + -3x(-7 + x) = -36 18x + 6x2 + (-7 * -3x + x * -3x) = -36 18x + 6x2 + (21x + -3x2) = -36 Reorder the terms: 18x + 21x + 6x2 + -3x2 = -36 Combine like terms: 18x + 21x = 39x 39x + 6x2 + -3x2 = -36 Combine like terms: 6x2 + -3x2 = 3x2 39x + 3x2 = -36 Solving 39x + 3x2 = -36 Solving for variable 'x'. Reorder the terms: 36 + 39x + 3x2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + 39x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(12 + 13x + x2) = 0 Factor a trinomial. 3((12 + x)(1 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-12, -1}
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