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Simplifying x(x + 3) = x + -15 Reorder the terms: x(3 + x) = x + -15 (3 * x + x * x) = x + -15 (3x + x2) = x + -15 Reorder the terms: 3x + x2 = -15 + x Solving 3x + x2 = -15 + x Solving for variable 'x'. Reorder the terms: 15 + 3x + -1x + x2 = -15 + x + 15 + -1x Combine like terms: 3x + -1x = 2x 15 + 2x + x2 = -15 + x + 15 + -1x Reorder the terms: 15 + 2x + x2 = -15 + 15 + x + -1x Combine like terms: -15 + 15 = 0 15 + 2x + x2 = 0 + x + -1x 15 + 2x + x2 = x + -1x Combine like terms: x + -1x = 0 15 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 2x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + 2x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2x + x2 = 0 + -15 2x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 2x + x2 = -15 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 = -15 + 1 Reorder the terms: 1 + 2x + x2 = -15 + 1 Combine like terms: -15 + 1 = -14 1 + 2x + x2 = -14 Factor a perfect square on the left side: (x + 1)(x + 1) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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