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Simplifying x(x + 6) + -8(5x + -8) = 0 Reorder the terms: x(6 + x) + -8(5x + -8) = 0 (6 * x + x * x) + -8(5x + -8) = 0 (6x + x2) + -8(5x + -8) = 0 Reorder the terms: 6x + x2 + -8(-8 + 5x) = 0 6x + x2 + (-8 * -8 + 5x * -8) = 0 6x + x2 + (64 + -40x) = 0 Reorder the terms: 64 + 6x + -40x + x2 = 0 Combine like terms: 6x + -40x = -34x 64 + -34x + x2 = 0 Solving 64 + -34x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(32 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(32 + -1x)' equal to zero and attempt to solve: Simplifying 32 + -1x = 0 Solving 32 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -1x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 0 + -32 -1x = 0 + -32 Combine like terms: 0 + -32 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32Solution
x = {2, 32}
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