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Simplifying -1(x + -14)(x + -5) = 0 Reorder the terms: -1(-14 + x)(x + -5) = 0 Reorder the terms: -1(-14 + x)(-5 + x) = 0 Multiply (-14 + x) * (-5 + x) -1(-14(-5 + x) + x(-5 + x)) = 0 -1((-5 * -14 + x * -14) + x(-5 + x)) = 0 -1((70 + -14x) + x(-5 + x)) = 0 -1(70 + -14x + (-5 * x + x * x)) = 0 -1(70 + -14x + (-5x + x2)) = 0 Combine like terms: -14x + -5x = -19x -1(70 + -19x + x2) = 0 (70 * -1 + -19x * -1 + x2 * -1) = 0 (-70 + 19x + -1x2) = 0 Solving -70 + 19x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + x)(5 + -1x) = 0Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 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 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Simplifying x = 14Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {14, 5}
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