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Simplifying 296 = 4x2 + 140x Reorder the terms: 296 = 140x + 4x2 Solving 296 = 140x + 4x2 Solving for variable 'x'. Reorder the terms: 296 + -140x + -4x2 = 140x + -140x + 4x2 + -4x2 Combine like terms: 140x + -140x = 0 296 + -140x + -4x2 = 0 + 4x2 + -4x2 296 + -140x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 296 + -140x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(74 + -35x + -1x2) = 0 Factor a trinomial. 4((2 + -1x)(37 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(37 + x)' equal to zero and attempt to solve: Simplifying 37 + x = 0 Solving 37 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + x = 0 + -37 x = 0 + -37 Combine like terms: 0 + -37 = -37 x = -37 Simplifying x = -37Solution
x = {2, -37}
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