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Simplifying (6 + -1x) * x(8 + -5) = 15x Combine like terms: 8 + -5 = 3 (6 + -1x) * x(3) = 15x Reorder the terms for easier multiplication: 3x(6 + -1x) = 15x (6 * 3x + -1x * 3x) = 15x (18x + -3x2) = 15x Solving 18x + -3x2 = 15x Solving for variable 'x'. Reorder the terms: 18x + -15x + -3x2 = 15x + -15x Combine like terms: 18x + -15x = 3x 3x + -3x2 = 15x + -15x Combine like terms: 15x + -15x = 0 3x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + -1x) = 0 Ignore the factor 3.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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