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Simplifying 1x(x + 2) + -2x = -2(x + 1) Reorder the terms: 1x(2 + x) + -2x = -2(x + 1) (2 * 1x + x * 1x) + -2x = -2(x + 1) (2x + 1x2) + -2x = -2(x + 1) Reorder the terms: 2x + -2x + 1x2 = -2(x + 1) Combine like terms: 2x + -2x = 0 0 + 1x2 = -2(x + 1) 1x2 = -2(x + 1) Reorder the terms: 1x2 = -2(1 + x) 1x2 = (1 * -2 + x * -2) 1x2 = (-2 + -2x) Solving 1x2 = -2 + -2x Solving for variable 'x'. Reorder the terms: 2 + 2x + 1x2 = -2 + -2x + 2 + 2x Reorder the terms: 2 + 2x + 1x2 = -2 + 2 + -2x + 2x Combine like terms: -2 + 2 = 0 2 + 2x + 1x2 = 0 + -2x + 2x 2 + 2x + 1x2 = -2x + 2x Combine like terms: -2x + 2x = 0 2 + 2x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + 2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + x2 = 0 + -2 2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2x + x2 = -2 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -2 + 1 Reorder the terms: 1 + 2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + 2x + x2 = -1 Factor a perfect square on the left side: (x + 1)(x + 1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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