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Simplifying 5(x + -2) + x = 6(x + 3) * x + -4 Reorder the terms: 5(-2 + x) + x = 6(x + 3) * x + -4 (-2 * 5 + x * 5) + x = 6(x + 3) * x + -4 (-10 + 5x) + x = 6(x + 3) * x + -4 Combine like terms: 5x + x = 6x -10 + 6x = 6(x + 3) * x + -4 Reorder the terms: -10 + 6x = 6(3 + x) * x + -4 Reorder the terms for easier multiplication: -10 + 6x = 6x(3 + x) + -4 -10 + 6x = (3 * 6x + x * 6x) + -4 -10 + 6x = (18x + 6x2) + -4 Reorder the terms: -10 + 6x = -4 + 18x + 6x2 Solving -10 + 6x = -4 + 18x + 6x2 Solving for variable 'x'. Reorder the terms: -10 + 4 + 6x + -18x + -6x2 = -4 + 18x + 6x2 + 4 + -18x + -6x2 Combine like terms: -10 + 4 = -6 -6 + 6x + -18x + -6x2 = -4 + 18x + 6x2 + 4 + -18x + -6x2 Combine like terms: 6x + -18x = -12x -6 + -12x + -6x2 = -4 + 18x + 6x2 + 4 + -18x + -6x2 Reorder the terms: -6 + -12x + -6x2 = -4 + 4 + 18x + -18x + 6x2 + -6x2 Combine like terms: -4 + 4 = 0 -6 + -12x + -6x2 = 0 + 18x + -18x + 6x2 + -6x2 -6 + -12x + -6x2 = 18x + -18x + 6x2 + -6x2 Combine like terms: 18x + -18x = 0 -6 + -12x + -6x2 = 0 + 6x2 + -6x2 -6 + -12x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6 + -12x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '-6'. -6(1 + 2x + x2) = 0 Factor a trinomial. -6((1 + x)(1 + x)) = 0 Ignore the factor -6.Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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