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Simplifying (x + -3)(x + -13) = 0 Reorder the terms: (-3 + x)(x + -13) = 0 Reorder the terms: (-3 + x)(-13 + x) = 0 Multiply (-3 + x) * (-13 + x) (-3(-13 + x) + x(-13 + x)) = 0 ((-13 * -3 + x * -3) + x(-13 + x)) = 0 ((39 + -3x) + x(-13 + x)) = 0 (39 + -3x + (-13 * x + x * x)) = 0 (39 + -3x + (-13x + x2)) = 0 Combine like terms: -3x + -13x = -16x (39 + -16x + x2) = 0 Solving 39 + -16x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(13 + -1x) = 0Subproblem 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 '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {3, 13}
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