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Simplifying 18x2 + -17x + 5 = 1 Reorder the terms: 5 + -17x + 18x2 = 1 Solving 5 + -17x + 18x2 = 1 Solving for variable 'x'. Reorder the terms: 5 + -1 + -17x + 18x2 = 1 + -1 Combine like terms: 5 + -1 = 4 4 + -17x + 18x2 = 1 + -1 Combine like terms: 1 + -1 = 0 4 + -17x + 18x2 = 0 Factor a trinomial. (4 + -9x)(1 + -2x) = 0Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Subproblem 2
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 = 0.5Solution
x = {0.4444444444, 0.5}
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