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Simplifying y2(x + -3) + 3y(x + -3) + -4(x + -3) = 0 Reorder the terms: y2(-3 + x) + 3y(x + -3) + -4(x + -3) = 0 (-3 * y2 + x * y2) + 3y(x + -3) + -4(x + -3) = 0 Reorder the terms: (xy2 + -3y2) + 3y(x + -3) + -4(x + -3) = 0 (xy2 + -3y2) + 3y(x + -3) + -4(x + -3) = 0 Reorder the terms: xy2 + -3y2 + 3y(-3 + x) + -4(x + -3) = 0 xy2 + -3y2 + (-3 * 3y + x * 3y) + -4(x + -3) = 0 Reorder the terms: xy2 + -3y2 + (3xy + -9y) + -4(x + -3) = 0 xy2 + -3y2 + (3xy + -9y) + -4(x + -3) = 0 Reorder the terms: xy2 + -3y2 + 3xy + -9y + -4(-3 + x) = 0 xy2 + -3y2 + 3xy + -9y + (-3 * -4 + x * -4) = 0 xy2 + -3y2 + 3xy + -9y + (12 + -4x) = 0 Reorder the terms: 12 + -4x + 3xy + xy2 + -9y + -3y2 = 0 Solving 12 + -4x + 3xy + xy2 + -9y + -3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4x + 3xy + xy2 + -9y + -12 + -3y2 = 0 + -12 Reorder the terms: 12 + -12 + -4x + 3xy + xy2 + -9y + -3y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4x + 3xy + xy2 + -9y + -3y2 = 0 + -12 -4x + 3xy + xy2 + -9y + -3y2 = 0 + -12 Combine like terms: 0 + -12 = -12 -4x + 3xy + xy2 + -9y + -3y2 = -12 Add '9y' to each side of the equation. -4x + 3xy + xy2 + -9y + 9y + -3y2 = -12 + 9y Combine like terms: -9y + 9y = 0 -4x + 3xy + xy2 + 0 + -3y2 = -12 + 9y -4x + 3xy + xy2 + -3y2 = -12 + 9y Add '3y2' to each side of the equation. -4x + 3xy + xy2 + -3y2 + 3y2 = -12 + 9y + 3y2 Combine like terms: -3y2 + 3y2 = 0 -4x + 3xy + xy2 + 0 = -12 + 9y + 3y2 -4x + 3xy + xy2 = -12 + 9y + 3y2 Reorder the terms: 12 + -4x + 3xy + xy2 + -9y + -3y2 = -12 + 9y + 3y2 + 12 + -9y + -3y2 Reorder the terms: 12 + -4x + 3xy + xy2 + -9y + -3y2 = -12 + 12 + 9y + -9y + 3y2 + -3y2 Combine like terms: -12 + 12 = 0 12 + -4x + 3xy + xy2 + -9y + -3y2 = 0 + 9y + -9y + 3y2 + -3y2 12 + -4x + 3xy + xy2 + -9y + -3y2 = 9y + -9y + 3y2 + -3y2 Combine like terms: 9y + -9y = 0 12 + -4x + 3xy + xy2 + -9y + -3y2 = 0 + 3y2 + -3y2 12 + -4x + 3xy + xy2 + -9y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 12 + -4x + 3xy + xy2 + -9y + -3y2 = 0 The solution to this equation could not be determined.
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