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Simplifying 32X2 + 88X + 56 = 0 Reorder the terms: 56 + 88X + 32X2 = 0 Solving 56 + 88X + 32X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '8'. 8(7 + 11X + 4X2) = 0 Factor a trinomial. 8((7 + 4X)(1 + X)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(7 + 4X)' equal to zero and attempt to solve: Simplifying 7 + 4X = 0 Solving 7 + 4X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4X = 0 + -7 4X = 0 + -7 Combine like terms: 0 + -7 = -7 4X = -7 Divide each side by '4'. X = -1.75 Simplifying X = -1.75Subproblem 2
Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {-1.75, -1}
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