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Simplifying 2x2 + 28x + 98 = 512 Reorder the terms: 98 + 28x + 2x2 = 512 Solving 98 + 28x + 2x2 = 512 Solving for variable 'x'. Reorder the terms: 98 + -512 + 28x + 2x2 = 512 + -512 Combine like terms: 98 + -512 = -414 -414 + 28x + 2x2 = 512 + -512 Combine like terms: 512 + -512 = 0 -414 + 28x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-207 + 14x + x2) = 0 Factor a trinomial. 2((-23 + -1x)(9 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-23 + -1x)' equal to zero and attempt to solve: Simplifying -23 + -1x = 0 Solving -23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = 0 + 23 -1x = 0 + 23 Combine like terms: 0 + 23 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23Subproblem 2
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 = 9Solution
x = {-23, 9}
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