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Simplifying (6 + x)(3x + 8) = 0 Reorder the terms: (6 + x)(8 + 3x) = 0 Multiply (6 + x) * (8 + 3x) (6(8 + 3x) + x(8 + 3x)) = 0 ((8 * 6 + 3x * 6) + x(8 + 3x)) = 0 ((48 + 18x) + x(8 + 3x)) = 0 (48 + 18x + (8 * x + 3x * x)) = 0 (48 + 18x + (8x + 3x2)) = 0 Combine like terms: 18x + 8x = 26x (48 + 26x + 3x2) = 0 Solving 48 + 26x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + x)(8 + 3x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -2.666666667}
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