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Simplifying 2x2 + -48x + 296 = 8 Reorder the terms: 296 + -48x + 2x2 = 8 Solving 296 + -48x + 2x2 = 8 Solving for variable 'x'. Reorder the terms: 296 + -8 + -48x + 2x2 = 8 + -8 Combine like terms: 296 + -8 = 288 288 + -48x + 2x2 = 8 + -8 Combine like terms: 8 + -8 = 0 288 + -48x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(144 + -24x + x2) = 0 Factor a trinomial. 2((12 + -1x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = 12Subproblem 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 = {12, 12}
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