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Simplifying (16 + -2x)(17 + -2x) = 0 Multiply (16 + -2x) * (17 + -2x) (16(17 + -2x) + -2x * (17 + -2x)) = 0 ((17 * 16 + -2x * 16) + -2x * (17 + -2x)) = 0 ((272 + -32x) + -2x * (17 + -2x)) = 0 (272 + -32x + (17 * -2x + -2x * -2x)) = 0 (272 + -32x + (-34x + 4x2)) = 0 Combine like terms: -32x + -34x = -66x (272 + -66x + 4x2) = 0 Solving 272 + -66x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(136 + -33x + 2x2) = 0 Factor a trinomial. 2((8 + -1x)(17 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(17 + -2x)' equal to zero and attempt to solve: Simplifying 17 + -2x = 0 Solving 17 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 0 + -17 -2x = 0 + -17 Combine like terms: 0 + -17 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5Solution
x = {8, 8.5}
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