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Simplifying 8x + -2x[5 + -4(x + 6)] = 0 Reorder the terms: 8x + -2x[5 + -4(6 + x)] = 0 8x + -2x[5 + (6 * -4 + x * -4)] = 0 8x + -2x[5 + (-24 + -4x)] = 0 Combine like terms: 5 + -24 = -19 8x + -2x[-19 + -4x] = 0 8x + [-19 * -2x + -4x * -2x] = 0 8x + [38x + 8x2] = 0 Combine like terms: 8x + 38x = 46x 46x + 8x2 = 0 Solving 46x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(23 + 4x) = 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 '(23 + 4x)' equal to zero and attempt to solve: Simplifying 23 + 4x = 0 Solving 23 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 4x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 4x = 0 + -23 4x = 0 + -23 Combine like terms: 0 + -23 = -23 4x = -23 Divide each side by '4'. x = -5.75 Simplifying x = -5.75Solution
x = {0, -5.75}
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