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Simplifying (3x + 8)(x + 8) = 0 Reorder the terms: (8 + 3x)(x + 8) = 0 Reorder the terms: (8 + 3x)(8 + x) = 0 Multiply (8 + 3x) * (8 + x) (8(8 + x) + 3x * (8 + x)) = 0 ((8 * 8 + x * 8) + 3x * (8 + x)) = 0 ((64 + 8x) + 3x * (8 + x)) = 0 (64 + 8x + (8 * 3x + x * 3x)) = 0 (64 + 8x + (24x + 3x2)) = 0 Combine like terms: 8x + 24x = 32x (64 + 32x + 3x2) = 0 Solving 64 + 32x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + x)(8 + 3x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 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 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Solution
x = {-8, -2.666666667}
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