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Simplifying 8x2 + -42x = 176 Reorder the terms: -42x + 8x2 = 176 Solving -42x + 8x2 = 176 Solving for variable 'x'. Reorder the terms: -176 + -42x + 8x2 = 176 + -176 Combine like terms: 176 + -176 = 0 -176 + -42x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-88 + -21x + 4x2) = 0 Factor a trinomial. 2((-11 + -4x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -4x)' equal to zero and attempt to solve: Simplifying -11 + -4x = 0 Solving -11 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 0 + 11 -4x = 0 + 11 Combine like terms: 0 + 11 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75Subproblem 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 = {-2.75, 8}
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