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Simplifying -15x + -6y(9 + -2x) = 135 -15x + (9 * -6y + -2x * -6y) = 135 Reorder the terms: -15x + (12xy + -54y) = 135 -15x + (12xy + -54y) = 135 Solving -15x + 12xy + -54y = 135 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54y' to each side of the equation. -15x + 12xy + -54y + 54y = 135 + 54y Combine like terms: -54y + 54y = 0 -15x + 12xy + 0 = 135 + 54y -15x + 12xy = 135 + 54y Reorder the terms: -135 + -15x + 12xy + -54y = 135 + 54y + -135 + -54y Reorder the terms: -135 + -15x + 12xy + -54y = 135 + -135 + 54y + -54y Combine like terms: 135 + -135 = 0 -135 + -15x + 12xy + -54y = 0 + 54y + -54y -135 + -15x + 12xy + -54y = 54y + -54y Combine like terms: 54y + -54y = 0 -135 + -15x + 12xy + -54y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-45 + -5x + 4xy + -18y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-45 + -5x + 4xy + -18y)' equal to zero and attempt to solve: Simplifying -45 + -5x + 4xy + -18y = 0 Solving -45 + -5x + 4xy + -18y = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + -5x + 4xy + 45 + -18y = 0 + 45 Reorder the terms: -45 + 45 + -5x + 4xy + -18y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -5x + 4xy + -18y = 0 + 45 -5x + 4xy + -18y = 0 + 45 Combine like terms: 0 + 45 = 45 -5x + 4xy + -18y = 45 Add '18y' to each side of the equation. -5x + 4xy + -18y + 18y = 45 + 18y Combine like terms: -18y + 18y = 0 -5x + 4xy + 0 = 45 + 18y -5x + 4xy = 45 + 18y 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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