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Simplifying x(x + -1) + -1(x + -5) * 2 = 2 Reorder the terms: x(-1 + x) + -1(x + -5) * 2 = 2 (-1 * x + x * x) + -1(x + -5) * 2 = 2 (-1x + x2) + -1(x + -5) * 2 = 2 Reorder the terms: -1x + x2 + -1(-5 + x) * 2 = 2 Reorder the terms for easier multiplication: -1x + x2 + -1 * 2(-5 + x) = 2 Multiply -1 * 2 -1x + x2 + -2(-5 + x) = 2 -1x + x2 + (-5 * -2 + x * -2) = 2 -1x + x2 + (10 + -2x) = 2 Reorder the terms: 10 + -1x + -2x + x2 = 2 Combine like terms: -1x + -2x = -3x 10 + -3x + x2 = 2 Solving 10 + -3x + x2 = 2 Solving for variable 'x'. Reorder the terms: 10 + -2 + -3x + x2 = 2 + -2 Combine like terms: 10 + -2 = 8 8 + -3x + x2 = 2 + -2 Combine like terms: 2 + -2 = 0 8 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -3x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -3x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x + x2 = 0 + -8 -3x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3x + x2 = -8 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -8 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -8 + 2.25 Combine like terms: -8 + 2.25 = -5.75 2.25 + -3x + x2 = -5.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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