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Simplifying 4x(6 + -1x)(4 + -1x) = 0 Multiply (6 + -1x) * (4 + -1x) 4x(6(4 + -1x) + -1x * (4 + -1x)) = 0 4x((4 * 6 + -1x * 6) + -1x * (4 + -1x)) = 0 4x((24 + -6x) + -1x * (4 + -1x)) = 0 4x(24 + -6x + (4 * -1x + -1x * -1x)) = 0 4x(24 + -6x + (-4x + 1x2)) = 0 Combine like terms: -6x + -4x = -10x 4x(24 + -10x + 1x2) = 0 (24 * 4x + -10x * 4x + 1x2 * 4x) = 0 (96x + -40x2 + 4x3) = 0 Solving 96x + -40x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(24 + -10x + x2) = 0 Factor a trinomial. 4x((4 + -1x)(6 + -1x)) = 0 Ignore the factor 4.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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 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, 4, 6}
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