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Simplifying 4x2 + 88x + 420 = 1380 Reorder the terms: 420 + 88x + 4x2 = 1380 Solving 420 + 88x + 4x2 = 1380 Solving for variable 'x'. Reorder the terms: 420 + -1380 + 88x + 4x2 = 1380 + -1380 Combine like terms: 420 + -1380 = -960 -960 + 88x + 4x2 = 1380 + -1380 Combine like terms: 1380 + -1380 = 0 -960 + 88x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-240 + 22x + x2) = 0 Factor a trinomial. 4((-30 + -1x)(8 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-30, 8}
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