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Simplifying 75x + -1x2 = 1026 Solving 75x + -1x2 = 1026 Solving for variable 'x'. Reorder the terms: -1026 + 75x + -1x2 = 1026 + -1026 Combine like terms: 1026 + -1026 = 0 -1026 + 75x + -1x2 = 0 Factor a trinomial. (-57 + x)(18 + -1x) = 0Subproblem 1
Set the factor '(-57 + x)' equal to zero and attempt to solve: Simplifying -57 + x = 0 Solving -57 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + x = 0 + 57 Combine like terms: -57 + 57 = 0 0 + x = 0 + 57 x = 0 + 57 Combine like terms: 0 + 57 = 57 x = 57 Simplifying x = 57Subproblem 2
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 = 18Solution
x = {57, 18}
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