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Simplifying (2x + 3)(x)(4y) = 0 Reorder the terms: (3 + 2x)(x)(4y) = 0 Remove parenthesis around (4y) (3 + 2x) * x * 4y = 0 Reorder the terms for easier multiplication: 4x * y(3 + 2x) = 0 Multiply x * y 4xy(3 + 2x) = 0 (3 * 4xy + 2x * 4xy) = 0 (12xy + 8x2y) = 0 Solving 12xy + 8x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(3 + 2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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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