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Simplifying x2 + -13x + 40 = 4 Reorder the terms: 40 + -13x + x2 = 4 Solving 40 + -13x + x2 = 4 Solving for variable 'x'. Reorder the terms: 40 + -4 + -13x + x2 = 4 + -4 Combine like terms: 40 + -4 = 36 36 + -13x + x2 = 4 + -4 Combine like terms: 4 + -4 = 0 36 + -13x + x2 = 0 Factor a trinomial. (4 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {4, 9}
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