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Simplifying 4x2 + 108x + 729 = 0 Reorder the terms: 729 + 108x + 4x2 = 0 Solving 729 + 108x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (27 + 2x)(27 + 2x) = 0Subproblem 1
Set the factor '(27 + 2x)' equal to zero and attempt to solve: Simplifying 27 + 2x = 0 Solving 27 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 2x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 0 + -27 2x = 0 + -27 Combine like terms: 0 + -27 = -27 2x = -27 Divide each side by '2'. x = -13.5 Simplifying x = -13.5Subproblem 2
Set the factor '(27 + 2x)' equal to zero and attempt to solve: Simplifying 27 + 2x = 0 Solving 27 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 2x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 0 + -27 2x = 0 + -27 Combine like terms: 0 + -27 = -27 2x = -27 Divide each side by '2'. x = -13.5 Simplifying x = -13.5Solution
x = {-13.5, -13.5}
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