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Simplifying -12x + -2x[7 + -3(x + -2)] = 0 Reorder the terms: -12x + -2x[7 + -3(-2 + x)] = 0 -12x + -2x[7 + (-2 * -3 + x * -3)] = 0 -12x + -2x[7 + (6 + -3x)] = 0 Combine like terms: 7 + 6 = 13 -12x + -2x[13 + -3x] = 0 -12x + [13 * -2x + -3x * -2x] = 0 -12x + [-26x + 6x2] = 0 Combine like terms: -12x + -26x = -38x -38x + 6x2 = 0 Solving -38x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-19 + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-19 + 3x)' equal to zero and attempt to solve: Simplifying -19 + 3x = 0 Solving -19 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 3x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 3x = 0 + 19 3x = 0 + 19 Combine like terms: 0 + 19 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333Solution
x = {0, 6.333333333}
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