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Simplifying x2 + -20x + 43 = 7 Reorder the terms: 43 + -20x + x2 = 7 Solving 43 + -20x + x2 = 7 Solving for variable 'x'. Reorder the terms: 43 + -7 + -20x + x2 = 7 + -7 Combine like terms: 43 + -7 = 36 36 + -20x + x2 = 7 + -7 Combine like terms: 7 + -7 = 0 36 + -20x + x2 = 0 Factor a trinomial. (2 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {2, 18}
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