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Simplifying 9x2 + 12x + 7 = 0 Reorder the terms: 7 + 12x + 9x2 = 0 Solving 7 + 12x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.7777777778 + 1.333333333x + x2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + 1.333333333x + -0.7777777778 + x2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + 1.333333333x + x2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + 1.333333333x + x2 = 0 + -0.7777777778 1.333333333x + x2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 1.333333333x + x2 = -0.7777777778 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 = -0.7777777778 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333x + x2 = -0.7777777778 + 0.4444444442 Combine like terms: -0.7777777778 + 0.4444444442 = -0.3333333336 0.4444444442 + 1.333333333x + x2 = -0.3333333336 Factor a perfect square on the left side: (x + 0.6666666665)(x + 0.6666666665) = -0.3333333336 Can't calculate square root of the right side. The solution to this equation could not be determined.
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