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Simplifying x(x + 5) = x + -15 Reorder the terms: x(5 + x) = x + -15 (5 * x + x * x) = x + -15 (5x + x2) = x + -15 Reorder the terms: 5x + x2 = -15 + x Solving 5x + x2 = -15 + x Solving for variable 'x'. Reorder the terms: 15 + 5x + -1x + x2 = -15 + x + 15 + -1x Combine like terms: 5x + -1x = 4x 15 + 4x + x2 = -15 + x + 15 + -1x Reorder the terms: 15 + 4x + x2 = -15 + 15 + x + -1x Combine like terms: -15 + 15 = 0 15 + 4x + x2 = 0 + x + -1x 15 + 4x + x2 = x + -1x Combine like terms: x + -1x = 0 15 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 4x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + 4x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x + x2 = 0 + -15 4x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 4x + x2 = -15 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -15 + 4 Reorder the terms: 4 + 4x + x2 = -15 + 4 Combine like terms: -15 + 4 = -11 4 + 4x + x2 = -11 Factor a perfect square on the left side: (x + 2)(x + 2) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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