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Simplifying 9X2 + 80X + 64 = 0 Reorder the terms: 64 + 80X + 9X2 = 0 Solving 64 + 80X + 9X2 = 0 Solving for variable 'X'. Factor a trinomial. (8 + X)(8 + 9X) = 0Subproblem 1
Set the factor '(8 + X)' equal to zero and attempt to solve: Simplifying 8 + X = 0 Solving 8 + X = 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 + X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + X = 0 + -8 X = 0 + -8 Combine like terms: 0 + -8 = -8 X = -8 Simplifying X = -8Subproblem 2
Set the factor '(8 + 9X)' equal to zero and attempt to solve: Simplifying 8 + 9X = 0 Solving 8 + 9X = 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 + 9X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9X = 0 + -8 9X = 0 + -8 Combine like terms: 0 + -8 = -8 9X = -8 Divide each side by '9'. X = -0.8888888889 Simplifying X = -0.8888888889Solution
X = {-8, -0.8888888889}
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