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Simplifying 4x2 + -36x + 18 = 1 Reorder the terms: 18 + -36x + 4x2 = 1 Solving 18 + -36x + 4x2 = 1 Solving for variable 'x'. Reorder the terms: 18 + -1 + -36x + 4x2 = 1 + -1 Combine like terms: 18 + -1 = 17 17 + -36x + 4x2 = 1 + -1 Combine like terms: 1 + -1 = 0 17 + -36x + 4x2 = 0 Factor a trinomial. (1 + -2x)(17 + -2x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(17 + -2x)' equal to zero and attempt to solve: Simplifying 17 + -2x = 0 Solving 17 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 0 + -17 -2x = 0 + -17 Combine like terms: 0 + -17 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5Solution
x = {0.5, 8.5}
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