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Simplifying x2 + 440 = 42x + 8 Reorder the terms: 440 + x2 = 42x + 8 Reorder the terms: 440 + x2 = 8 + 42x Solving 440 + x2 = 8 + 42x Solving for variable 'x'. Reorder the terms: 440 + -8 + -42x + x2 = 8 + 42x + -8 + -42x Combine like terms: 440 + -8 = 432 432 + -42x + x2 = 8 + 42x + -8 + -42x Reorder the terms: 432 + -42x + x2 = 8 + -8 + 42x + -42x Combine like terms: 8 + -8 = 0 432 + -42x + x2 = 0 + 42x + -42x 432 + -42x + x2 = 42x + -42x Combine like terms: 42x + -42x = 0 432 + -42x + x2 = 0 Factor a trinomial. (18 + -1x)(24 + -1x) = 0Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Subproblem 2
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 = 24Solution
x = {18, 24}
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