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Simplifying 3x2 + 12x + 20 = 875 Reorder the terms: 20 + 12x + 3x2 = 875 Solving 20 + 12x + 3x2 = 875 Solving for variable 'x'. Reorder the terms: 20 + -875 + 12x + 3x2 = 875 + -875 Combine like terms: 20 + -875 = -855 -855 + 12x + 3x2 = 875 + -875 Combine like terms: 875 + -875 = 0 -855 + 12x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-285 + 4x + x2) = 0 Factor a trinomial. 3((-19 + -1x)(15 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-19, 15}
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