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Simplifying 0 = (x + -8)(x + 6) Reorder the terms: 0 = (-8 + x)(x + 6) Reorder the terms: 0 = (-8 + x)(6 + x) Multiply (-8 + x) * (6 + x) 0 = (-8(6 + x) + x(6 + x)) 0 = ((6 * -8 + x * -8) + x(6 + x)) 0 = ((-48 + -8x) + x(6 + x)) 0 = (-48 + -8x + (6 * x + x * x)) 0 = (-48 + -8x + (6x + x2)) Combine like terms: -8x + 6x = -2x 0 = (-48 + -2x + x2) Solving 0 = -48 + -2x + x2 Solving for variable 'x'. Combine like terms: 0 + 48 = 48 48 + 2x + -1x2 = -48 + -2x + x2 + 48 + 2x + -1x2 Reorder the terms: 48 + 2x + -1x2 = -48 + 48 + -2x + 2x + x2 + -1x2 Combine like terms: -48 + 48 = 0 48 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2 48 + 2x + -1x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 0 48 + 2x + -1x2 = 0 + x2 + -1x2 48 + 2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 48 + 2x + -1x2 = 0 Factor a trinomial. (8 + -1x)(6 + x) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {8, -6}
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