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Simplifying -5x(x + -3x) + 12x = 0 Combine like terms: x + -3x = -2x -5x(-2x) + 12x = 0 Remove parenthesis around (-2x) -5x * -2x + 12x = 0 Reorder the terms for easier multiplication: -5 * -2x * x + 12x = 0 Multiply -5 * -2 10x * x + 12x = 0 Multiply x * x 10x2 + 12x = 0 Reorder the terms: 12x + 10x2 = 0 Solving 12x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(6 + 5x) = 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 '(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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