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Simplifying 422 = 2x2 + 20x + 310 Reorder the terms: 422 = 310 + 20x + 2x2 Solving 422 = 310 + 20x + 2x2 Solving for variable 'x'. Combine like terms: 422 + -310 = 112 112 + -20x + -2x2 = 310 + 20x + 2x2 + -310 + -20x + -2x2 Reorder the terms: 112 + -20x + -2x2 = 310 + -310 + 20x + -20x + 2x2 + -2x2 Combine like terms: 310 + -310 = 0 112 + -20x + -2x2 = 0 + 20x + -20x + 2x2 + -2x2 112 + -20x + -2x2 = 20x + -20x + 2x2 + -2x2 Combine like terms: 20x + -20x = 0 112 + -20x + -2x2 = 0 + 2x2 + -2x2 112 + -20x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 112 + -20x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(56 + -10x + -1x2) = 0 Factor a trinomial. 2((4 + -1x)(14 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {4, -14}
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