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Simplifying (x + -15)(x + 30) = 0 Reorder the terms: (-15 + x)(x + 30) = 0 Reorder the terms: (-15 + x)(30 + x) = 0 Multiply (-15 + x) * (30 + x) (-15(30 + x) + x(30 + x)) = 0 ((30 * -15 + x * -15) + x(30 + x)) = 0 ((-450 + -15x) + x(30 + x)) = 0 (-450 + -15x + (30 * x + x * x)) = 0 (-450 + -15x + (30x + x2)) = 0 Combine like terms: -15x + 30x = 15x (-450 + 15x + x2) = 0 Solving -450 + 15x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-30 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30Subproblem 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 = {-30, 15}
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