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Simplifying 6x(4y + 5) + 12 = 0 Reorder the terms: 6x(5 + 4y) + 12 = 0 (5 * 6x + 4y * 6x) + 12 = 0 (30x + 24xy) + 12 = 0 Reorder the terms: 12 + 30x + 24xy = 0 Solving 12 + 30x + 24xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 30x + -12 + 24xy = 0 + -12 Reorder the terms: 12 + -12 + 30x + 24xy = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 30x + 24xy = 0 + -12 30x + 24xy = 0 + -12 Combine like terms: 0 + -12 = -12 30x + 24xy = -12 Reorder the terms: 12 + 30x + 24xy = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 30x + 24xy = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(2 + 5x + 4xy) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2 + 5x + 4xy)' equal to zero and attempt to solve: Simplifying 2 + 5x + 4xy = 0 Solving 2 + 5x + 4xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5x + -2 + 4xy = 0 + -2 Reorder the terms: 2 + -2 + 5x + 4xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x + 4xy = 0 + -2 5x + 4xy = 0 + -2 Combine like terms: 0 + -2 = -2 5x + 4xy = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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