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Simplifying 103x(x + -15)(3x + 2) = 0 Reorder the terms: 103x(-15 + x)(3x + 2) = 0 Reorder the terms: 103x(-15 + x)(2 + 3x) = 0 Multiply (-15 + x) * (2 + 3x) 103x(-15(2 + 3x) + x(2 + 3x)) = 0 103x((2 * -15 + 3x * -15) + x(2 + 3x)) = 0 103x((-30 + -45x) + x(2 + 3x)) = 0 103x(-30 + -45x + (2 * x + 3x * x)) = 0 103x(-30 + -45x + (2x + 3x2)) = 0 Combine like terms: -45x + 2x = -43x 103x(-30 + -43x + 3x2) = 0 (-30 * 103x + -43x * 103x + 3x2 * 103x) = 0 (-3090x + -4429x2 + 309x3) = 0 Solving -3090x + -4429x2 + 309x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '103x'. 103x(-30 + -43x + 3x2) = 0 Factor a trinomial. 103x((-2 + -3x)(15 + -1x)) = 0 Ignore the factor 103.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 '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 3
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {0, -0.6666666667, 15}
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