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Simplifying 6x8(2x + 3) = 0 Reorder the terms: 6x8(3 + 2x) = 0 (3 * 6x8 + 2x * 6x8) = 0 (18x8 + 12x9) = 0 Solving 18x8 + 12x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x8'. 6x8(3 + 2x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x8' equal to zero and attempt to solve: Simplifying x8 = 0 Solving x8 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x8 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-1.5}
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