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Simplifying x(x + 2) = 79 + 8(x + x + 2) Reorder the terms: x(2 + x) = 79 + 8(x + x + 2) (2 * x + x * x) = 79 + 8(x + x + 2) (2x + x2) = 79 + 8(x + x + 2) Reorder the terms: 2x + x2 = 79 + 8(2 + x + x) Combine like terms: x + x = 2x 2x + x2 = 79 + 8(2 + 2x) 2x + x2 = 79 + (2 * 8 + 2x * 8) 2x + x2 = 79 + (16 + 16x) Combine like terms: 79 + 16 = 95 2x + x2 = 95 + 16x Solving 2x + x2 = 95 + 16x Solving for variable 'x'. Reorder the terms: -95 + 2x + -16x + x2 = 95 + 16x + -95 + -16x Combine like terms: 2x + -16x = -14x -95 + -14x + x2 = 95 + 16x + -95 + -16x Reorder the terms: -95 + -14x + x2 = 95 + -95 + 16x + -16x Combine like terms: 95 + -95 = 0 -95 + -14x + x2 = 0 + 16x + -16x -95 + -14x + x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -95 + -14x + x2 = 0 Factor a trinomial. (-5 + -1x)(19 + -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 '(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 = 19Solution
x = {-5, 19}
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