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Simplifying (7x + 8)(x + 1) = 0 Reorder the terms: (8 + 7x)(x + 1) = 0 Reorder the terms: (8 + 7x)(1 + x) = 0 Multiply (8 + 7x) * (1 + x) (8(1 + x) + 7x * (1 + x)) = 0 ((1 * 8 + x * 8) + 7x * (1 + x)) = 0 ((8 + 8x) + 7x * (1 + x)) = 0 (8 + 8x + (1 * 7x + x * 7x)) = 0 (8 + 8x + (7x + 7x2)) = 0 Combine like terms: 8x + 7x = 15x (8 + 15x + 7x2) = 0 Solving 8 + 15x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 7x)(1 + x) = 0Subproblem 1
Set the factor '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 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 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 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 = {-1.142857143, -1}
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