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Simplifying 2x(3 + -1x) + -1(4 + -1x) * 3x = 0 (3 * 2x + -1x * 2x) + -1(4 + -1x) * 3x = 0 (6x + -2x2) + -1(4 + -1x) * 3x = 0 Reorder the terms for easier multiplication: 6x + -2x2 + -1 * 3x(4 + -1x) = 0 Multiply -1 * 3 6x + -2x2 + -3x(4 + -1x) = 0 6x + -2x2 + (4 * -3x + -1x * -3x) = 0 6x + -2x2 + (-12x + 3x2) = 0 Reorder the terms: 6x + -12x + -2x2 + 3x2 = 0 Combine like terms: 6x + -12x = -6x -6x + -2x2 + 3x2 = 0 Combine like terms: -2x2 + 3x2 = 1x2 -6x + 1x2 = 0 Solving -6x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + x) = 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {0, 6}
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