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Simplifying 4.9x2 + -5x + 32 = 0 Reorder the terms: 32 + -5x + 4.9x2 = 0 Solving 32 + -5x + 4.9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 6.530612245 + -1.020408163x + x2 = 0 Move the constant term to the right: Add '-6.530612245' to each side of the equation. 6.530612245 + -1.020408163x + -6.530612245 + x2 = 0 + -6.530612245 Reorder the terms: 6.530612245 + -6.530612245 + -1.020408163x + x2 = 0 + -6.530612245 Combine like terms: 6.530612245 + -6.530612245 = 0.000000000 0.000000000 + -1.020408163x + x2 = 0 + -6.530612245 -1.020408163x + x2 = 0 + -6.530612245 Combine like terms: 0 + -6.530612245 = -6.530612245 -1.020408163x + x2 = -6.530612245 The x term is -1.020408163x. Take half its coefficient (-0.5102040815). Square it (0.2603082048) and add it to both sides. Add '0.2603082048' to each side of the equation. -1.020408163x + 0.2603082048 + x2 = -6.530612245 + 0.2603082048 Reorder the terms: 0.2603082048 + -1.020408163x + x2 = -6.530612245 + 0.2603082048 Combine like terms: -6.530612245 + 0.2603082048 = -6.2703040402 0.2603082048 + -1.020408163x + x2 = -6.2703040402 Factor a perfect square on the left side: (x + -0.5102040815)(x + -0.5102040815) = -6.2703040402 Can't calculate square root of the right side. The solution to this equation could not be determined.
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