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Simplifying [x + 8][x + -3] = 0 Reorder the terms: [8 + x][x + -3] = 0 Reorder the terms: [8 + x][-3 + x] = 0 Multiply [8 + x] * [-3 + x] [8[-3 + x] + x[-3 + x]] = 0 [[-3 * 8 + x * 8] + x[-3 + x]] = 0 [[-24 + 8x] + x[-3 + x]] = 0 [-24 + 8x + [-3 * x + x * x]] = 0 [-24 + 8x + [-3x + x2]] = 0 Combine like terms: 8x + -3x = 5x [-24 + 5x + x2] = 0 Solving -24 + 5x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(3 + -1x) = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-8, 3}
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