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Simplifying (x + -24)(x + -30) = 0 Reorder the terms: (-24 + x)(x + -30) = 0 Reorder the terms: (-24 + x)(-30 + x) = 0 Multiply (-24 + x) * (-30 + x) (-24(-30 + x) + x(-30 + x)) = 0 ((-30 * -24 + x * -24) + x(-30 + x)) = 0 ((720 + -24x) + x(-30 + x)) = 0 (720 + -24x + (-30 * x + x * x)) = 0 (720 + -24x + (-30x + x2)) = 0 Combine like terms: -24x + -30x = -54x (720 + -54x + x2) = 0 Solving 720 + -54x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (24 + -1x)(30 + -1x) = 0Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Subproblem 2
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 = 30Solution
x = {24, 30}
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