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Simplifying -1(6x + 3)(2x + 2) = 0 Reorder the terms: -1(3 + 6x)(2x + 2) = 0 Reorder the terms: -1(3 + 6x)(2 + 2x) = 0 Multiply (3 + 6x) * (2 + 2x) -1(3(2 + 2x) + 6x * (2 + 2x)) = 0 -1((2 * 3 + 2x * 3) + 6x * (2 + 2x)) = 0 -1((6 + 6x) + 6x * (2 + 2x)) = 0 -1(6 + 6x + (2 * 6x + 2x * 6x)) = 0 -1(6 + 6x + (12x + 12x2)) = 0 Combine like terms: 6x + 12x = 18x -1(6 + 18x + 12x2) = 0 (6 * -1 + 18x * -1 + 12x2 * -1) = 0 (-6 + -18x + -12x2) = 0 Solving -6 + -18x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-6'. -6(1 + 3x + 2x2) = 0 Factor a trinomial. -6((1 + x)(1 + 2x)) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-1, -0.5}
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