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Simplifying x(x + -1) = x(2 + -1) + -18 Reorder the terms: x(-1 + x) = x(2 + -1) + -18 (-1 * x + x * x) = x(2 + -1) + -18 (-1x + x2) = x(2 + -1) + -18 Combine like terms: 2 + -1 = 1 -1x + x2 = x(1) + -18 Reorder the terms for easier multiplication: -1x + x2 = 1x + -18 Reorder the terms: -1x + x2 = -18 + 1x Solving -1x + x2 = -18 + 1x Solving for variable 'x'. Reorder the terms: 18 + -1x + -1x + x2 = -18 + 1x + 18 + -1x Combine like terms: -1x + -1x = -2x 18 + -2x + x2 = -18 + 1x + 18 + -1x Reorder the terms: 18 + -2x + x2 = -18 + 18 + 1x + -1x Combine like terms: -18 + 18 = 0 18 + -2x + x2 = 0 + 1x + -1x 18 + -2x + x2 = 1x + -1x Combine like terms: 1x + -1x = 0 18 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -2x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -2x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -2x + x2 = 0 + -18 -2x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -2x + x2 = -18 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 = -18 + 1 Reorder the terms: 1 + -2x + x2 = -18 + 1 Combine like terms: -18 + 1 = -17 1 + -2x + x2 = -17 Factor a perfect square on the left side: (x + -1)(x + -1) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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