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Simplifying -24x + 3y(8x + -4) = 0 Reorder the terms: -24x + 3y(-4 + 8x) = 0 -24x + (-4 * 3y + 8x * 3y) = 0 Reorder the terms: -24x + (24xy + -12y) = 0 -24x + (24xy + -12y) = 0 Solving -24x + 24xy + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. -24x + 24xy + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 -24x + 24xy + 0 = 0 + 12y -24x + 24xy = 0 + 12y Remove the zero: -24x + 24xy = 12y Combine like terms: 12y + -12y = 0 -24x + 24xy + -12y = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-2x + 2xy + -1y) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-2x + 2xy + -1y)' equal to zero and attempt to solve: Simplifying -2x + 2xy + -1y = 0 Solving -2x + 2xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -2x + 2xy + -1y + y = 0 + y Combine like terms: -1y + y = 0 -2x + 2xy + 0 = 0 + y -2x + 2xy = 0 + y Remove the zero: -2x + 2xy = y 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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