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Simplifying x2 + -1x + -2 = x2 + -51x + -1x2 + 49 Reorder the terms: -2 + -1x + x2 = x2 + -51x + -1x2 + 49 Reorder the terms: -2 + -1x + x2 = 49 + -51x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + -1x + x2 = 49 + -51x + 0 -2 + -1x + x2 = 49 + -51x Solving -2 + -1x + x2 = 49 + -51x Solving for variable 'x'. Reorder the terms: -2 + -49 + -1x + 51x + x2 = 49 + -51x + -49 + 51x Combine like terms: -2 + -49 = -51 -51 + -1x + 51x + x2 = 49 + -51x + -49 + 51x Combine like terms: -1x + 51x = 50x -51 + 50x + x2 = 49 + -51x + -49 + 51x Reorder the terms: -51 + 50x + x2 = 49 + -49 + -51x + 51x Combine like terms: 49 + -49 = 0 -51 + 50x + x2 = 0 + -51x + 51x -51 + 50x + x2 = -51x + 51x Combine like terms: -51x + 51x = 0 -51 + 50x + x2 = 0 Factor a trinomial. (-51 + -1x)(1 + -1x) = 0Subproblem 1
Set the factor '(-51 + -1x)' equal to zero and attempt to solve: Simplifying -51 + -1x = 0 Solving -51 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -1x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = 0 + 51 -1x = 0 + 51 Combine like terms: 0 + 51 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-51, 1}
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