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Simplifying x2 + -13x + 47 = 7 Reorder the terms: 47 + -13x + x2 = 7 Solving 47 + -13x + x2 = 7 Solving for variable 'x'. Reorder the terms: 47 + -7 + -13x + x2 = 7 + -7 Combine like terms: 47 + -7 = 40 40 + -13x + x2 = 7 + -7 Combine like terms: 7 + -7 = 0 40 + -13x + x2 = 0 Factor a trinomial. (5 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {5, 8}
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