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Simplifying 3x(5x + -1) = 12 Reorder the terms: 3x(-1 + 5x) = 12 (-1 * 3x + 5x * 3x) = 12 (-3x + 15x2) = 12 Solving -3x + 15x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + -3x + 15x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -3x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + -1x + 5x2) = 0 Factor a trinomial. 3((-4 + -5x)(1 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.8, 1}
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