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Simplifying 2x2 + -42x + 441 = 225 Reorder the terms: 441 + -42x + 2x2 = 225 Solving 441 + -42x + 2x2 = 225 Solving for variable 'x'. Reorder the terms: 441 + -225 + -42x + 2x2 = 225 + -225 Combine like terms: 441 + -225 = 216 216 + -42x + 2x2 = 225 + -225 Combine like terms: 225 + -225 = 0 216 + -42x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(108 + -21x + x2) = 0 Factor a trinomial. 2((9 + -1x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 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 = {9, 12}
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