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Simplifying 6x2 + 9x + 7 = 0 Reorder the terms: 7 + 9x + 6x2 = 0 Solving 7 + 9x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.166666667 + 1.5x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + 1.5x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + 1.5x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + 1.5x + x2 = 0 + -1.166666667 1.5x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 1.5x + x2 = -1.166666667 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -1.166666667 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -1.166666667 + 0.5625 Combine like terms: -1.166666667 + 0.5625 = -0.604166667 0.5625 + 1.5x + x2 = -0.604166667 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -0.604166667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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