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Simplifying 3[2(-1y2 + y) + -3] + 3(2x + y) = 0 Reorder the terms: 3[2(y + -1y2) + -3] + 3(2x + y) = 0 3[(y * 2 + -1y2 * 2) + -3] + 3(2x + y) = 0 3[(2y + -2y2) + -3] + 3(2x + y) = 0 Reorder the terms: 3[-3 + 2y + -2y2] + 3(2x + y) = 0 [-3 * 3 + 2y * 3 + -2y2 * 3] + 3(2x + y) = 0 [-9 + 6y + -6y2] + 3(2x + y) = 0 -9 + 6y + -6y2 + (2x * 3 + y * 3) = 0 -9 + 6y + -6y2 + (6x + 3y) = 0 Reorder the terms: -9 + 6x + 6y + 3y + -6y2 = 0 Combine like terms: 6y + 3y = 9y -9 + 6x + 9y + -6y2 = 0 Solving -9 + 6x + 9y + -6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 6x + 9y + 9 + -6y2 = 0 + 9 Reorder the terms: -9 + 9 + 6x + 9y + -6y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 6x + 9y + -6y2 = 0 + 9 6x + 9y + -6y2 = 0 + 9 Combine like terms: 0 + 9 = 9 6x + 9y + -6y2 = 9 Add '-9y' to each side of the equation. 6x + 9y + -9y + -6y2 = 9 + -9y Combine like terms: 9y + -9y = 0 6x + 0 + -6y2 = 9 + -9y 6x + -6y2 = 9 + -9y Add '6y2' to each side of the equation. 6x + -6y2 + 6y2 = 9 + -9y + 6y2 Combine like terms: -6y2 + 6y2 = 0 6x + 0 = 9 + -9y + 6y2 6x = 9 + -9y + 6y2 Divide each side by '6'. x = 1.5 + -1.5y + y2 Simplifying x = 1.5 + -1.5y + y2
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