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Simplifying 3x[2 + -1(x + -1)] = 5x Reorder the terms: 3x[2 + -1(-1 + x)] = 5x 3x[2 + (-1 * -1 + x * -1)] = 5x 3x[2 + (1 + -1x)] = 5x Combine like terms: 2 + 1 = 3 3x[3 + -1x] = 5x [3 * 3x + -1x * 3x] = 5x [9x + -3x2] = 5x Solving 9x + -3x2 = 5x Solving for variable 'x'. Reorder the terms: 9x + -5x + -3x2 = 5x + -5x Combine like terms: 9x + -5x = 4x 4x + -3x2 = 5x + -5x Combine like terms: 5x + -5x = 0 4x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + -3x) = 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 '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0, 1.333333333}
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