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Simplifying -14(x + -3)(x + 2) = 0 Reorder the terms: -14(-3 + x)(x + 2) = 0 Reorder the terms: -14(-3 + x)(2 + x) = 0 Multiply (-3 + x) * (2 + x) -14(-3(2 + x) + x(2 + x)) = 0 -14((2 * -3 + x * -3) + x(2 + x)) = 0 -14((-6 + -3x) + x(2 + x)) = 0 -14(-6 + -3x + (2 * x + x * x)) = 0 -14(-6 + -3x + (2x + x2)) = 0 Combine like terms: -3x + 2x = -1x -14(-6 + -1x + x2) = 0 (-6 * -14 + -1x * -14 + x2 * -14) = 0 (84 + 14x + -14x2) = 0 Solving 84 + 14x + -14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '14'. 14(6 + x + -1x2) = 0 Factor a trinomial. 14((3 + -1x)(2 + x)) = 0 Ignore the factor 14.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {3, -2}
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