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Simplifying 4x2 + -36x + 81 = 16 Reorder the terms: 81 + -36x + 4x2 = 16 Solving 81 + -36x + 4x2 = 16 Solving for variable 'x'. Reorder the terms: 81 + -16 + -36x + 4x2 = 16 + -16 Combine like terms: 81 + -16 = 65 65 + -36x + 4x2 = 16 + -16 Combine like terms: 16 + -16 = 0 65 + -36x + 4x2 = 0 Factor a trinomial. (5 + -2x)(13 + -2x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5Solution
x = {2.5, 6.5}
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