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Simplifying x(6 + -1x)(x + 5) = 0 Reorder the terms: x(6 + -1x)(5 + x) = 0 Multiply (6 + -1x) * (5 + x) x(6(5 + x) + -1x * (5 + x)) = 0 x((5 * 6 + x * 6) + -1x * (5 + x)) = 0 x((30 + 6x) + -1x * (5 + x)) = 0 x(30 + 6x + (5 * -1x + x * -1x)) = 0 x(30 + 6x + (-5x + -1x2)) = 0 Combine like terms: 6x + -5x = 1x x(30 + 1x + -1x2) = 0 (30 * x + 1x * x + -1x2 * x) = 0 (30x + 1x2 + -1x3) = 0 Solving 30x + 1x2 + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(30 + x + -1x2) = 0 Factor a trinomial. x((6 + -1x)(5 + x)) = 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 '(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 = 6Subproblem 3
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, 6, -5}
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