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Simplifying 4x2 + 42x + -232 = 0 Reorder the terms: -232 + 42x + 4x2 = 0 Solving -232 + 42x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-116 + 21x + 2x2) = 0 Factor a trinomial. 2((-29 + -2x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-29 + -2x)' equal to zero and attempt to solve: Simplifying -29 + -2x = 0 Solving -29 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -2x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -2x = 0 + 29 -2x = 0 + 29 Combine like terms: 0 + 29 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5Subproblem 2
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 = 4Solution
x = {-14.5, 4}
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