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Simplifying 4x2 + -76x = -336 Reorder the terms: -76x + 4x2 = -336 Solving -76x + 4x2 = -336 Solving for variable 'x'. Reorder the terms: 336 + -76x + 4x2 = -336 + 336 Combine like terms: -336 + 336 = 0 336 + -76x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(84 + -19x + x2) = 0 Factor a trinomial. 4((7 + -1x)(12 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {7, 12}
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