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Simplifying 2[4x + -2y(y + -2)] = 0 Reorder the terms: 2[4x + -2y(-2 + y)] = 0 2[4x + (-2 * -2y + y * -2y)] = 0 2[4x + (4y + -2y2)] = 0 [4x * 2 + 4y * 2 + -2y2 * 2] = 0 [8x + 8y + -4y2] = 0 Solving 8x + 8y + -4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 8x + 8y + -8y + -4y2 = 0 + -8y Combine like terms: 8y + -8y = 0 8x + 0 + -4y2 = 0 + -8y 8x + -4y2 = 0 + -8y Remove the zero: 8x + -4y2 = -8y Add '4y2' to each side of the equation. 8x + -4y2 + 4y2 = -8y + 4y2 Combine like terms: -4y2 + 4y2 = 0 8x + 0 = -8y + 4y2 8x = -8y + 4y2 Divide each side by '8'. x = -1y + 0.5y2 Simplifying x = -1y + 0.5y2
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