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Simplifying 846 = 2x2 + 20x + 318 Reorder the terms: 846 = 318 + 20x + 2x2 Solving 846 = 318 + 20x + 2x2 Solving for variable 'x'. Combine like terms: 846 + -318 = 528 528 + -20x + -2x2 = 318 + 20x + 2x2 + -318 + -20x + -2x2 Reorder the terms: 528 + -20x + -2x2 = 318 + -318 + 20x + -20x + 2x2 + -2x2 Combine like terms: 318 + -318 = 0 528 + -20x + -2x2 = 0 + 20x + -20x + 2x2 + -2x2 528 + -20x + -2x2 = 20x + -20x + 2x2 + -2x2 Combine like terms: 20x + -20x = 0 528 + -20x + -2x2 = 0 + 2x2 + -2x2 528 + -20x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 528 + -20x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(264 + -10x + -1x2) = 0 Factor a trinomial. 2((12 + -1x)(22 + x)) = 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 '(22 + x)' equal to zero and attempt to solve: Simplifying 22 + x = 0 Solving 22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + x = 0 + -22 x = 0 + -22 Combine like terms: 0 + -22 = -22 x = -22 Simplifying x = -22Solution
x = {12, -22}
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