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Simplifying 5x[4x + -8[3x + -18] + -16x] = 0 Reorder the terms: 5x[4x + -8[-18 + 3x] + -16x] = 0 5x[4x + [-18 * -8 + 3x * -8] + -16x] = 0 5x[4x + [144 + -24x] + -16x] = 0 Reorder the terms: 5x[144 + 4x + -24x + -16x] = 0 Combine like terms: 4x + -24x = -20x 5x[144 + -20x + -16x] = 0 Combine like terms: -20x + -16x = -36x 5x[144 + -36x] = 0 [144 * 5x + -36x * 5x] = 0 [720x + -180x2] = 0 Solving 720x + -180x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '180x'. 180x(4 + -1x) = 0 Ignore the factor 180.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 = 4Solution
x = {0, 4}
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