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Simplifying x2 + -2x + 15 = 3 Reorder the terms: 15 + -2x + x2 = 3 Solving 15 + -2x + x2 = 3 Solving for variable 'x'. Reorder the terms: 15 + -3 + -2x + x2 = 3 + -3 Combine like terms: 15 + -3 = 12 12 + -2x + x2 = 3 + -3 Combine like terms: 3 + -3 = 0 12 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + -2x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -2x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2x + x2 = 0 + -12 -2x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -2x + x2 = -12 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 = -12 + 1 Reorder the terms: 1 + -2x + x2 = -12 + 1 Combine like terms: -12 + 1 = -11 1 + -2x + x2 = -11 Factor a perfect square on the left side: (x + -1)(x + -1) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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