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Simplifying (1 + x)(5x + 8) = 0 Reorder the terms: (1 + x)(8 + 5x) = 0 Multiply (1 + x) * (8 + 5x) (1(8 + 5x) + x(8 + 5x)) = 0 ((8 * 1 + 5x * 1) + x(8 + 5x)) = 0 ((8 + 5x) + x(8 + 5x)) = 0 (8 + 5x + (8 * x + 5x * x)) = 0 (8 + 5x + (8x + 5x2)) = 0 Combine like terms: 5x + 8x = 13x (8 + 13x + 5x2) = 0 Solving 8 + 13x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 5x)(1 + x) = 0Subproblem 1
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 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 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.6, -1}
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