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Simplifying 2(-4x + 9y + 6xy) + -5(2x + 8y) = 0 Reorder the terms: 2(-4x + 6xy + 9y) + -5(2x + 8y) = 0 (-4x * 2 + 6xy * 2 + 9y * 2) + -5(2x + 8y) = 0 (-8x + 12xy + 18y) + -5(2x + 8y) = 0 -8x + 12xy + 18y + (2x * -5 + 8y * -5) = 0 -8x + 12xy + 18y + (-10x + -40y) = 0 Reorder the terms: -8x + -10x + 12xy + 18y + -40y = 0 Combine like terms: -8x + -10x = -18x -18x + 12xy + 18y + -40y = 0 Combine like terms: 18y + -40y = -22y -18x + 12xy + -22y = 0 Solving -18x + 12xy + -22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22y' to each side of the equation. -18x + 12xy + -22y + 22y = 0 + 22y Combine like terms: -22y + 22y = 0 -18x + 12xy + 0 = 0 + 22y -18x + 12xy = 0 + 22y Remove the zero: -18x + 12xy = 22y Combine like terms: 22y + -22y = 0 -18x + 12xy + -22y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9x + 6xy + -11y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9x + 6xy + -11y)' equal to zero and attempt to solve: Simplifying -9x + 6xy + -11y = 0 Solving -9x + 6xy + -11y = 0 Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. -9x + 6xy + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 -9x + 6xy + 0 = 0 + 11y -9x + 6xy = 0 + 11y Remove the zero: -9x + 6xy = 11y 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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