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Simplifying x2 + (2y + -1)(y + 2) = 0 Reorder the terms: x2 + (-1 + 2y)(y + 2) = 0 Reorder the terms: x2 + (-1 + 2y)(2 + y) = 0 Multiply (-1 + 2y) * (2 + y) x2 + (-1(2 + y) + 2y * (2 + y)) = 0 x2 + ((2 * -1 + y * -1) + 2y * (2 + y)) = 0 x2 + ((-2 + -1y) + 2y * (2 + y)) = 0 x2 + (-2 + -1y + (2 * 2y + y * 2y)) = 0 x2 + (-2 + -1y + (4y + 2y2)) = 0 Combine like terms: -1y + 4y = 3y x2 + (-2 + 3y + 2y2) = 0 Reorder the terms: -2 + x2 + 3y + 2y2 = 0 Solving -2 + x2 + 3y + 2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + x2 + 3y + 2 + 2y2 = 0 + 2 Reorder the terms: -2 + 2 + x2 + 3y + 2y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 + 3y + 2y2 = 0 + 2 x2 + 3y + 2y2 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 + 3y + 2y2 = 2 Add '-3y' to each side of the equation. x2 + 3y + -3y + 2y2 = 2 + -3y Combine like terms: 3y + -3y = 0 x2 + 0 + 2y2 = 2 + -3y x2 + 2y2 = 2 + -3y Add '-2y2' to each side of the equation. x2 + 2y2 + -2y2 = 2 + -3y + -2y2 Combine like terms: 2y2 + -2y2 = 0 x2 + 0 = 2 + -3y + -2y2 x2 = 2 + -3y + -2y2 Simplifying x2 = 2 + -3y + -2y2 Reorder the terms: -2 + x2 + 3y + 2y2 = 2 + -3y + -2y2 + -2 + 3y + 2y2 Reorder the terms: -2 + x2 + 3y + 2y2 = 2 + -2 + -3y + 3y + -2y2 + 2y2 Combine like terms: 2 + -2 = 0 -2 + x2 + 3y + 2y2 = 0 + -3y + 3y + -2y2 + 2y2 -2 + x2 + 3y + 2y2 = -3y + 3y + -2y2 + 2y2 Combine like terms: -3y + 3y = 0 -2 + x2 + 3y + 2y2 = 0 + -2y2 + 2y2 -2 + x2 + 3y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -2 + x2 + 3y + 2y2 = 0 The solution to this equation could not be determined.
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