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Simplifying 0 = 4.9x2 + 5x + 450 Reorder the terms: 0 = 450 + 5x + 4.9x2 Solving 0 = 450 + 5x + 4.9x2 Solving for variable 'x'. Combine like terms: 0 + -450 = -450 -450 + -5x + -4.9x2 = 450 + 5x + 4.9x2 + -450 + -5x + -4.9x2 Reorder the terms: -450 + -5x + -4.9x2 = 450 + -450 + 5x + -5x + 4.9x2 + -4.9x2 Combine like terms: 450 + -450 = 0 -450 + -5x + -4.9x2 = 0 + 5x + -5x + 4.9x2 + -4.9x2 -450 + -5x + -4.9x2 = 5x + -5x + 4.9x2 + -4.9x2 Combine like terms: 5x + -5x = 0 -450 + -5x + -4.9x2 = 0 + 4.9x2 + -4.9x2 -450 + -5x + -4.9x2 = 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 -450 + -5x + -4.9x2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 91.83673469 + 1.020408163x + x2 = 0 Move the constant term to the right: Add '-91.83673469' to each side of the equation. 91.83673469 + 1.020408163x + -91.83673469 + x2 = 0 + -91.83673469 Reorder the terms: 91.83673469 + -91.83673469 + 1.020408163x + x2 = 0 + -91.83673469 Combine like terms: 91.83673469 + -91.83673469 = 0.00000000 0.00000000 + 1.020408163x + x2 = 0 + -91.83673469 1.020408163x + x2 = 0 + -91.83673469 Combine like terms: 0 + -91.83673469 = -91.83673469 1.020408163x + x2 = -91.83673469 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 = -91.83673469 + 0.2603082048 Reorder the terms: 0.2603082048 + 1.020408163x + x2 = -91.83673469 + 0.2603082048 Combine like terms: -91.83673469 + 0.2603082048 = -91.5764264852 0.2603082048 + 1.020408163x + x2 = -91.5764264852 Factor a perfect square on the left side: (x + 0.5102040815)(x + 0.5102040815) = -91.5764264852 Can't calculate square root of the right side. The solution to this equation could not be determined.
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