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Simplifying 8x + -3y + 12 = 2x + 3y(x + -4) Reorder the terms: 12 + 8x + -3y = 2x + 3y(x + -4) Reorder the terms: 12 + 8x + -3y = 2x + 3y(-4 + x) 12 + 8x + -3y = 2x + (-4 * 3y + x * 3y) Reorder the terms: 12 + 8x + -3y = 2x + (3xy + -12y) 12 + 8x + -3y = 2x + (3xy + -12y) Solving 12 + 8x + -3y = 2x + 3xy + -12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 8x + -2x + -3y = 2x + 3xy + -2x + -12y Combine like terms: 8x + -2x = 6x 12 + 6x + -3y = 2x + 3xy + -2x + -12y Reorder the terms: 12 + 6x + -3y = 2x + -2x + 3xy + -12y Combine like terms: 2x + -2x = 0 12 + 6x + -3y = 0 + 3xy + -12y 12 + 6x + -3y = 3xy + -12y Add '-3xy' to each side of the equation. 12 + 6x + -3xy + -3y = 3xy + -3xy + -12y Combine like terms: 3xy + -3xy = 0 12 + 6x + -3xy + -3y = 0 + -12y 12 + 6x + -3xy + -3y = -12y Add '-12' to each side of the equation. 12 + 6x + -3xy + -12 + -3y = -12 + -12y Reorder the terms: 12 + -12 + 6x + -3xy + -3y = -12 + -12y Combine like terms: 12 + -12 = 0 0 + 6x + -3xy + -3y = -12 + -12y 6x + -3xy + -3y = -12 + -12y Add '3y' to each side of the equation. 6x + -3xy + -3y + 3y = -12 + -12y + 3y Combine like terms: -3y + 3y = 0 6x + -3xy + 0 = -12 + -12y + 3y 6x + -3xy = -12 + -12y + 3y Combine like terms: -12y + 3y = -9y 6x + -3xy = -12 + -9y Reorder the terms: 12 + 6x + -3xy + 9y = -12 + -9y + 12 + 9y Reorder the terms: 12 + 6x + -3xy + 9y = -12 + 12 + -9y + 9y Combine like terms: -12 + 12 = 0 12 + 6x + -3xy + 9y = 0 + -9y + 9y 12 + 6x + -3xy + 9y = -9y + 9y Combine like terms: -9y + 9y = 0 12 + 6x + -3xy + 9y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 2x + -1xy + 3y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + 2x + -1xy + 3y)' equal to zero and attempt to solve: Simplifying 4 + 2x + -1xy + 3y = 0 Solving 4 + 2x + -1xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2x + -1xy + -4 + 3y = 0 + -4 Reorder the terms: 4 + -4 + 2x + -1xy + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + -1xy + 3y = 0 + -4 2x + -1xy + 3y = 0 + -4 Combine like terms: 0 + -4 = -4 2x + -1xy + 3y = -4 Add '-3y' to each side of the equation. 2x + -1xy + 3y + -3y = -4 + -3y Combine like terms: 3y + -3y = 0 2x + -1xy + 0 = -4 + -3y 2x + -1xy = -4 + -3y 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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