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Simplifying 13 = -6x2 + -12x Reorder the terms: 13 = -12x + -6x2 Solving 13 = -12x + -6x2 Solving for variable 'x'. Reorder the terms: 13 + 12x + 6x2 = -12x + 12x + -6x2 + 6x2 Combine like terms: -12x + 12x = 0 13 + 12x + 6x2 = 0 + -6x2 + 6x2 13 + 12x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 13 + 12x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.166666667 + 2x + x2 = 0 Move the constant term to the right: Add '-2.166666667' to each side of the equation. 2.166666667 + 2x + -2.166666667 + x2 = 0 + -2.166666667 Reorder the terms: 2.166666667 + -2.166666667 + 2x + x2 = 0 + -2.166666667 Combine like terms: 2.166666667 + -2.166666667 = 0.000000000 0.000000000 + 2x + x2 = 0 + -2.166666667 2x + x2 = 0 + -2.166666667 Combine like terms: 0 + -2.166666667 = -2.166666667 2x + x2 = -2.166666667 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 = -2.166666667 + 1 Reorder the terms: 1 + 2x + x2 = -2.166666667 + 1 Combine like terms: -2.166666667 + 1 = -1.166666667 1 + 2x + x2 = -1.166666667 Factor a perfect square on the left side: (x + 1)(x + 1) = -1.166666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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