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Simplifying 8x5(4x + 6) = 0 Reorder the terms: 8x5(6 + 4x) = 0 (6 * 8x5 + 4x * 8x5) = 0 (48x5 + 32x6) = 0 Solving 48x5 + 32x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16x5'. 16x5(3 + 2x) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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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