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Simplifying 3x2 + -6x + 15 = -16 Reorder the terms: 15 + -6x + 3x2 = -16 Solving 15 + -6x + 3x2 = -16 Solving for variable 'x'. Reorder the terms: 15 + 16 + -6x + 3x2 = -16 + 16 Combine like terms: 15 + 16 = 31 31 + -6x + 3x2 = -16 + 16 Combine like terms: -16 + 16 = 0 31 + -6x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10.33333333 + -2x + x2 = 0 Move the constant term to the right: Add '-10.33333333' to each side of the equation. 10.33333333 + -2x + -10.33333333 + x2 = 0 + -10.33333333 Reorder the terms: 10.33333333 + -10.33333333 + -2x + x2 = 0 + -10.33333333 Combine like terms: 10.33333333 + -10.33333333 = 0.00000000 0.00000000 + -2x + x2 = 0 + -10.33333333 -2x + x2 = 0 + -10.33333333 Combine like terms: 0 + -10.33333333 = -10.33333333 -2x + x2 = -10.33333333 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 = -10.33333333 + 1 Reorder the terms: 1 + -2x + x2 = -10.33333333 + 1 Combine like terms: -10.33333333 + 1 = -9.33333333 1 + -2x + x2 = -9.33333333 Factor a perfect square on the left side: (x + -1)(x + -1) = -9.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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