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Simplifying x(30 + -1x) = 144 (30 * x + -1x * x) = 144 (30x + -1x2) = 144 Solving 30x + -1x2 = 144 Solving for variable 'x'. Reorder the terms: -144 + 30x + -1x2 = 144 + -144 Combine like terms: 144 + -144 = 0 -144 + 30x + -1x2 = 0 Factor a trinomial. (-24 + x)(6 + -1x) = 0Subproblem 1
Set the factor '(-24 + x)' equal to zero and attempt to solve: Simplifying -24 + x = 0 Solving -24 + x = 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 + x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + x = 0 + 24 x = 0 + 24 Combine like terms: 0 + 24 = 24 x = 24 Simplifying x = 24Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {24, 6}
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