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Simplifying 5X2 + 54X + 81 = 0 Reorder the terms: 81 + 54X + 5X2 = 0 Solving 81 + 54X + 5X2 = 0 Solving for variable 'X'. Factor a trinomial. (9 + X)(9 + 5X) = 0Subproblem 1
Set the factor '(9 + X)' equal to zero and attempt to solve: Simplifying 9 + X = 0 Solving 9 + X = 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 + X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + X = 0 + -9 X = 0 + -9 Combine like terms: 0 + -9 = -9 X = -9 Simplifying X = -9Subproblem 2
Set the factor '(9 + 5X)' equal to zero and attempt to solve: Simplifying 9 + 5X = 0 Solving 9 + 5X = 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 + 5X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5X = 0 + -9 5X = 0 + -9 Combine like terms: 0 + -9 = -9 5X = -9 Divide each side by '5'. X = -1.8 Simplifying X = -1.8Solution
X = {-9, -1.8}
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