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Simplifying 4x2 + 37x + 81 = x Reorder the terms: 81 + 37x + 4x2 = x Solving 81 + 37x + 4x2 = x Solving for variable 'x'. Reorder the terms: 81 + 37x + -1x + 4x2 = x + -1x Combine like terms: 37x + -1x = 36x 81 + 36x + 4x2 = x + -1x Combine like terms: x + -1x = 0 81 + 36x + 4x2 = 0 Factor a trinomial. (9 + 2x)(9 + 2x) = 0Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 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 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 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 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {-4.5, -4.5}
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