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Simplifying 2x[3x + -1(4x + -1)] = 8x Reorder the terms: 2x[3x + -1(-1 + 4x)] = 8x 2x[3x + (-1 * -1 + 4x * -1)] = 8x 2x[3x + (1 + -4x)] = 8x Reorder the terms: 2x[1 + 3x + -4x] = 8x Combine like terms: 3x + -4x = -1x 2x[1 + -1x] = 8x [1 * 2x + -1x * 2x] = 8x [2x + -2x2] = 8x Solving 2x + -2x2 = 8x Solving for variable 'x'. Reorder the terms: 2x + -8x + -2x2 = 8x + -8x Combine like terms: 2x + -8x = -6x -6x + -2x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -6x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(3 + x) = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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