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Simplifying 4x + 3x2 + -1x + 2 = 38 Reorder the terms: 2 + 4x + -1x + 3x2 = 38 Combine like terms: 4x + -1x = 3x 2 + 3x + 3x2 = 38 Solving 2 + 3x + 3x2 = 38 Solving for variable 'x'. Reorder the terms: 2 + -38 + 3x + 3x2 = 38 + -38 Combine like terms: 2 + -38 = -36 -36 + 3x + 3x2 = 38 + -38 Combine like terms: 38 + -38 = 0 -36 + 3x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + x + x2) = 0 Factor a trinomial. 3((-4 + -1x)(3 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 3}
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