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Simplifying 13 = 2x(4 + -3x) 13 = (4 * 2x + -3x * 2x) 13 = (8x + -6x2) Solving 13 = 8x + -6x2 Solving for variable 'x'. Reorder the terms: 13 + -8x + 6x2 = 8x + -8x + -6x2 + 6x2 Combine like terms: 8x + -8x = 0 13 + -8x + 6x2 = 0 + -6x2 + 6x2 13 + -8x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 13 + -8x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.166666667 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-2.166666667' to each side of the equation. 2.166666667 + -1.333333333x + -2.166666667 + x2 = 0 + -2.166666667 Reorder the terms: 2.166666667 + -2.166666667 + -1.333333333x + x2 = 0 + -2.166666667 Combine like terms: 2.166666667 + -2.166666667 = 0.000000000 0.000000000 + -1.333333333x + x2 = 0 + -2.166666667 -1.333333333x + x2 = 0 + -2.166666667 Combine like terms: 0 + -2.166666667 = -2.166666667 -1.333333333x + x2 = -2.166666667 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -2.166666667 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -2.166666667 + 0.4444444442 Combine like terms: -2.166666667 + 0.4444444442 = -1.7222222228 0.4444444442 + -1.333333333x + x2 = -1.7222222228 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -1.7222222228 Can't calculate square root of the right side. The solution to this equation could not be determined.
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