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Simplifying 8(2x + 2y) + -4(3xy + -1(-5x)) = 0 (2x * 8 + 2y * 8) + -4(3xy + -1(-5x)) = 0 (16x + 16y) + -4(3xy + -1(-5x)) = 0 Remove parenthesis around (-5x) 16x + 16y + -4(3xy + -1 * -5x) = 0 Multiply -1 * -5 16x + 16y + -4(3xy + 5x) = 0 Reorder the terms: 16x + 16y + -4(5x + 3xy) = 0 16x + 16y + (5x * -4 + 3xy * -4) = 0 16x + 16y + (-20x + -12xy) = 0 Reorder the terms: 16x + -20x + -12xy + 16y = 0 Combine like terms: 16x + -20x = -4x -4x + -12xy + 16y = 0 Solving -4x + -12xy + 16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. -4x + -12xy + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 -4x + -12xy + 0 = 0 + -16y -4x + -12xy = 0 + -16y Remove the zero: -4x + -12xy = -16y Combine like terms: -16y + 16y = 0 -4x + -12xy + 16y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1x + -3xy + 4y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1x + -3xy + 4y)' equal to zero and attempt to solve: Simplifying -1x + -3xy + 4y = 0 Solving -1x + -3xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -1x + -3xy + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -1x + -3xy + 0 = 0 + -4y -1x + -3xy = 0 + -4y Remove the zero: -1x + -3xy = -4y 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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