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Simplifying x(x + 2) = 5x + -10 Reorder the terms: x(2 + x) = 5x + -10 (2 * x + x * x) = 5x + -10 (2x + x2) = 5x + -10 Reorder the terms: 2x + x2 = -10 + 5x Solving 2x + x2 = -10 + 5x Solving for variable 'x'. Reorder the terms: 10 + 2x + -5x + x2 = -10 + 5x + 10 + -5x Combine like terms: 2x + -5x = -3x 10 + -3x + x2 = -10 + 5x + 10 + -5x Reorder the terms: 10 + -3x + x2 = -10 + 10 + 5x + -5x Combine like terms: -10 + 10 = 0 10 + -3x + x2 = 0 + 5x + -5x 10 + -3x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 10 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -3x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x + x2 = 0 + -10 -3x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3x + x2 = -10 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 = -10 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + -3x + x2 = -7.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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