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Simplifying 374 + 78x + 4x2 = 594 Solving 374 + 78x + 4x2 = 594 Solving for variable 'x'. Reorder the terms: 374 + -594 + 78x + 4x2 = 594 + -594 Combine like terms: 374 + -594 = -220 -220 + 78x + 4x2 = 594 + -594 Combine like terms: 594 + -594 = 0 -220 + 78x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-110 + 39x + 2x2) = 0 Factor a trinomial. 2((-22 + -1x)(5 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve: Simplifying -22 + -1x = 0 Solving -22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 0 + 22 -1x = 0 + 22 Combine like terms: 0 + 22 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-22, 2.5}
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