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Simplifying 3x(x + -6) + (x + -3)(-8x) = 0 Reorder the terms: 3x(-6 + x) + (x + -3)(-8x) = 0 (-6 * 3x + x * 3x) + (x + -3)(-8x) = 0 (-18x + 3x2) + (x + -3)(-8x) = 0 Reorder the terms: -18x + 3x2 + (-3 + x)(-8x) = 0 Remove parenthesis around (-8x) -18x + 3x2 + (-3 + x) * -8x = 0 Reorder the terms for easier multiplication: -18x + 3x2 + -8x(-3 + x) = 0 -18x + 3x2 + (-3 * -8x + x * -8x) = 0 -18x + 3x2 + (24x + -8x2) = 0 Reorder the terms: -18x + 24x + 3x2 + -8x2 = 0 Combine like terms: -18x + 24x = 6x 6x + 3x2 + -8x2 = 0 Combine like terms: 3x2 + -8x2 = -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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