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Simplifying 6x2 = -8x + -7 Reorder the terms: 6x2 = -7 + -8x Solving 6x2 = -7 + -8x Solving for variable 'x'. Reorder the terms: 7 + 8x + 6x2 = -7 + -8x + 7 + 8x Reorder the terms: 7 + 8x + 6x2 = -7 + 7 + -8x + 8x Combine like terms: -7 + 7 = 0 7 + 8x + 6x2 = 0 + -8x + 8x 7 + 8x + 6x2 = -8x + 8x Combine like terms: -8x + 8x = 0 7 + 8x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.166666667 + 1.333333333x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + 1.333333333x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + 1.333333333x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + 1.333333333x + x2 = 0 + -1.166666667 1.333333333x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 1.333333333x + x2 = -1.166666667 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 = -1.166666667 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333x + x2 = -1.166666667 + 0.4444444442 Combine like terms: -1.166666667 + 0.4444444442 = -0.7222222228 0.4444444442 + 1.333333333x + x2 = -0.7222222228 Factor a perfect square on the left side: (x + 0.6666666665)(x + 0.6666666665) = -0.7222222228 Can't calculate square root of the right side. The solution to this equation could not be determined.
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