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Simplifying -3x(x + -4) + -2x(x + 3) = 0 Reorder the terms: -3x(-4 + x) + -2x(x + 3) = 0 (-4 * -3x + x * -3x) + -2x(x + 3) = 0 (12x + -3x2) + -2x(x + 3) = 0 Reorder the terms: 12x + -3x2 + -2x(3 + x) = 0 12x + -3x2 + (3 * -2x + x * -2x) = 0 12x + -3x2 + (-6x + -2x2) = 0 Reorder the terms: 12x + -6x + -3x2 + -2x2 = 0 Combine like terms: 12x + -6x = 6x 6x + -3x2 + -2x2 = 0 Combine like terms: -3x2 + -2x2 = -5x2 6x + -5x2 = 0 Solving 6x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(6 + -5x) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 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 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {0, 1.2}
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