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Simplifying 95 = x2 + -14x Reorder the terms: 95 = -14x + x2 Solving 95 = -14x + x2 Solving for variable 'x'. Reorder the terms: 95 + 14x + -1x2 = -14x + 14x + x2 + -1x2 Combine like terms: -14x + 14x = 0 95 + 14x + -1x2 = 0 + x2 + -1x2 95 + 14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 95 + 14x + -1x2 = 0 Factor a trinomial. (19 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {19, -5}
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