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Simplifying x(2x + 1)(x + -6) = 0 Reorder the terms: x(1 + 2x)(x + -6) = 0 Reorder the terms: x(1 + 2x)(-6 + x) = 0 Multiply (1 + 2x) * (-6 + x) x(1(-6 + x) + 2x * (-6 + x)) = 0 x((-6 * 1 + x * 1) + 2x * (-6 + x)) = 0 x((-6 + 1x) + 2x * (-6 + x)) = 0 x(-6 + 1x + (-6 * 2x + x * 2x)) = 0 x(-6 + 1x + (-12x + 2x2)) = 0 Combine like terms: 1x + -12x = -11x x(-6 + -11x + 2x2) = 0 (-6 * x + -11x * x + 2x2 * x) = 0 (-6x + -11x2 + 2x3) = 0 Solving -6x + -11x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + -11x + 2x2) = 0 Factor a trinomial. x((-1 + -2x)(6 + -1x)) = 0Subproblem 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 '(-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 = -0.5Subproblem 3
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 = 6Solution
x = {0, -0.5, 6}
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