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Simplifying 4x + 5y(6x + -16) = -12 Reorder the terms: 4x + 5y(-16 + 6x) = -12 4x + (-16 * 5y + 6x * 5y) = -12 Reorder the terms: 4x + (30xy + -80y) = -12 4x + (30xy + -80y) = -12 Solving 4x + 30xy + -80y = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80y' to each side of the equation. 4x + 30xy + -80y + 80y = -12 + 80y Combine like terms: -80y + 80y = 0 4x + 30xy + 0 = -12 + 80y 4x + 30xy = -12 + 80y Reorder the terms: 12 + 4x + 30xy + -80y = -12 + 80y + 12 + -80y Reorder the terms: 12 + 4x + 30xy + -80y = -12 + 12 + 80y + -80y Combine like terms: -12 + 12 = 0 12 + 4x + 30xy + -80y = 0 + 80y + -80y 12 + 4x + 30xy + -80y = 80y + -80y Combine like terms: 80y + -80y = 0 12 + 4x + 30xy + -80y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 2x + 15xy + -40y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + 2x + 15xy + -40y)' equal to zero and attempt to solve: Simplifying 6 + 2x + 15xy + -40y = 0 Solving 6 + 2x + 15xy + -40y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2x + 15xy + -6 + -40y = 0 + -6 Reorder the terms: 6 + -6 + 2x + 15xy + -40y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + 15xy + -40y = 0 + -6 2x + 15xy + -40y = 0 + -6 Combine like terms: 0 + -6 = -6 2x + 15xy + -40y = -6 Add '40y' to each side of the equation. 2x + 15xy + -40y + 40y = -6 + 40y Combine like terms: -40y + 40y = 0 2x + 15xy + 0 = -6 + 40y 2x + 15xy = -6 + 40y 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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