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Simplifying 2x2 + 16x + 64 = 1000 Reorder the terms: 64 + 16x + 2x2 = 1000 Solving 64 + 16x + 2x2 = 1000 Solving for variable 'x'. Reorder the terms: 64 + -1000 + 16x + 2x2 = 1000 + -1000 Combine like terms: 64 + -1000 = -936 -936 + 16x + 2x2 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -936 + 16x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-468 + 8x + x2) = 0 Factor a trinomial. 2((-26 + -1x)(18 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve: Simplifying -26 + -1x = 0 Solving -26 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -1x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -1x = 0 + 26 -1x = 0 + 26 Combine like terms: 0 + 26 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-26, 18}
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