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Simplifying 9x2 + -5x + 85 = 7x Reorder the terms: 85 + -5x + 9x2 = 7x Solving 85 + -5x + 9x2 = 7x Solving for variable 'x'. Reorder the terms: 85 + -5x + -7x + 9x2 = 7x + -7x Combine like terms: -5x + -7x = -12x 85 + -12x + 9x2 = 7x + -7x Combine like terms: 7x + -7x = 0 85 + -12x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 9.444444444 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-9.444444444' to each side of the equation. 9.444444444 + -1.333333333x + -9.444444444 + x2 = 0 + -9.444444444 Reorder the terms: 9.444444444 + -9.444444444 + -1.333333333x + x2 = 0 + -9.444444444 Combine like terms: 9.444444444 + -9.444444444 = 0.000000000 0.000000000 + -1.333333333x + x2 = 0 + -9.444444444 -1.333333333x + x2 = 0 + -9.444444444 Combine like terms: 0 + -9.444444444 = -9.444444444 -1.333333333x + x2 = -9.444444444 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 = -9.444444444 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -9.444444444 + 0.4444444442 Combine like terms: -9.444444444 + 0.4444444442 = -8.9999999998 0.4444444442 + -1.333333333x + x2 = -8.9999999998 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -8.9999999998 Can't calculate square root of the right side. The solution to this equation could not be determined.
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