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Simplifying (x + -15)(x + -2) = 0 Reorder the terms: (-15 + x)(x + -2) = 0 Reorder the terms: (-15 + x)(-2 + x) = 0 Multiply (-15 + x) * (-2 + x) (-15(-2 + x) + x(-2 + x)) = 0 ((-2 * -15 + x * -15) + x(-2 + x)) = 0 ((30 + -15x) + x(-2 + x)) = 0 (30 + -15x + (-2 * x + x * x)) = 0 (30 + -15x + (-2x + x2)) = 0 Combine like terms: -15x + -2x = -17x (30 + -17x + x2) = 0 Solving 30 + -17x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
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 = {2, 15}
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