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Simplifying -12x + (3x + -1)(5x) = 0 Reorder the terms: -12x + (-1 + 3x)(5x) = 0 Remove parenthesis around (5x) -12x + (-1 + 3x) * 5x = 0 Reorder the terms for easier multiplication: -12x + 5x(-1 + 3x) = 0 -12x + (-1 * 5x + 3x * 5x) = 0 -12x + (-5x + 15x2) = 0 Combine like terms: -12x + -5x = -17x -17x + 15x2 = 0 Solving -17x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-17 + 15x) = 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 '(-17 + 15x)' equal to zero and attempt to solve: Simplifying -17 + 15x = 0 Solving -17 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 15x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 15x = 0 + 17 15x = 0 + 17 Combine like terms: 0 + 17 = 17 15x = 17 Divide each side by '15'. x = 1.133333333 Simplifying x = 1.133333333Solution
x = {0, 1.133333333}
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