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Simplifying -2(x + -14)(x + 3) = 0 Reorder the terms: -2(-14 + x)(x + 3) = 0 Reorder the terms: -2(-14 + x)(3 + x) = 0 Multiply (-14 + x) * (3 + x) -2(-14(3 + x) + x(3 + x)) = 0 -2((3 * -14 + x * -14) + x(3 + x)) = 0 -2((-42 + -14x) + x(3 + x)) = 0 -2(-42 + -14x + (3 * x + x * x)) = 0 -2(-42 + -14x + (3x + x2)) = 0 Combine like terms: -14x + 3x = -11x -2(-42 + -11x + x2) = 0 (-42 * -2 + -11x * -2 + x2 * -2) = 0 (84 + 22x + -2x2) = 0 Solving 84 + 22x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(42 + 11x + -1x2) = 0 Factor a trinomial. 2((14 + -1x)(3 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {14, -3}
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