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Simplifying x2 + -15x + 51 = -5 Reorder the terms: 51 + -15x + x2 = -5 Solving 51 + -15x + x2 = -5 Solving for variable 'x'. Reorder the terms: 51 + 5 + -15x + x2 = -5 + 5 Combine like terms: 51 + 5 = 56 56 + -15x + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 56 + -15x + x2 = 0 Factor a trinomial. (7 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 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 = {7, 8}
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