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Simplifying -38x2 + 3724x + -42150 = 25338 Reorder the terms: -42150 + 3724x + -38x2 = 25338 Solving -42150 + 3724x + -38x2 = 25338 Solving for variable 'x'. Reorder the terms: -42150 + -25338 + 3724x + -38x2 = 25338 + -25338 Combine like terms: -42150 + -25338 = -67488 -67488 + 3724x + -38x2 = 25338 + -25338 Combine like terms: 25338 + -25338 = 0 -67488 + 3724x + -38x2 = 0 Factor out the Greatest Common Factor (GCF), '38'. 38(-1776 + 98x + -1x2) = 0 Factor a trinomial. 38((-74 + x)(24 + -1x)) = 0 Ignore the factor 38.Subproblem 1
Set the factor '(-74 + x)' equal to zero and attempt to solve: Simplifying -74 + x = 0 Solving -74 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + x = 0 + 74 Combine like terms: -74 + 74 = 0 0 + x = 0 + 74 x = 0 + 74 Combine like terms: 0 + 74 = 74 x = 74 Simplifying x = 74Subproblem 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 = {74, 24}
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