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Simplifying 15x = x2 + -76 Reorder the terms: 15x = -76 + x2 Solving 15x = -76 + x2 Solving for variable 'x'. Reorder the terms: 76 + 15x + -1x2 = -76 + x2 + 76 + -1x2 Reorder the terms: 76 + 15x + -1x2 = -76 + 76 + x2 + -1x2 Combine like terms: -76 + 76 = 0 76 + 15x + -1x2 = 0 + x2 + -1x2 76 + 15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 76 + 15x + -1x2 = 0 Factor a trinomial. (19 + -1x)(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {19, -4}
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