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Simplifying 15x2 + 1193.4 = 20x Reorder the terms: 1193.4 + 15x2 = 20x Solving 1193.4 + 15x2 = 20x Solving for variable 'x'. Reorder the terms: 1193.4 + -20x + 15x2 = 20x + -20x Combine like terms: 20x + -20x = 0 1193.4 + -20x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 79.56 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-79.56' to each side of the equation. 79.56 + -1.333333333x + -79.56 + x2 = 0 + -79.56 Reorder the terms: 79.56 + -79.56 + -1.333333333x + x2 = 0 + -79.56 Combine like terms: 79.56 + -79.56 = 0.00 0.00 + -1.333333333x + x2 = 0 + -79.56 -1.333333333x + x2 = 0 + -79.56 Combine like terms: 0 + -79.56 = -79.56 -1.333333333x + x2 = -79.56 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 = -79.56 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -79.56 + 0.4444444442 Combine like terms: -79.56 + 0.4444444442 = -79.1155555558 0.4444444442 + -1.333333333x + x2 = -79.1155555558 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -79.1155555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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