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Simplifying 374 + 78x + 4x2 = 644 Solving 374 + 78x + 4x2 = 644 Solving for variable 'x'. Reorder the terms: 374 + -644 + 78x + 4x2 = 644 + -644 Combine like terms: 374 + -644 = -270 -270 + 78x + 4x2 = 644 + -644 Combine like terms: 644 + -644 = 0 -270 + 78x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-135 + 39x + 2x2) = 0 Factor a trinomial. 2((-45 + -2x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-45 + -2x)' equal to zero and attempt to solve: Simplifying -45 + -2x = 0 Solving -45 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -2x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -2x = 0 + 45 -2x = 0 + 45 Combine like terms: 0 + 45 = 45 -2x = 45 Divide each side by '-2'. x = -22.5 Simplifying x = -22.5Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-22.5, 3}
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