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Simplifying 3.04549x2 + -10x + 450 = 0 Reorder the terms: 450 + -10x + 3.04549x2 = 0 Solving 450 + -10x + 3.04549x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3.04549 the coefficient of the squared term: Divide each side by '3.04549'. 147.7594738 + -3.283543863x + x2 = 0 Move the constant term to the right: Add '-147.7594738' to each side of the equation. 147.7594738 + -3.283543863x + -147.7594738 + x2 = 0 + -147.7594738 Reorder the terms: 147.7594738 + -147.7594738 + -3.283543863x + x2 = 0 + -147.7594738 Combine like terms: 147.7594738 + -147.7594738 = 0.0000000 0.0000000 + -3.283543863x + x2 = 0 + -147.7594738 -3.283543863x + x2 = 0 + -147.7594738 Combine like terms: 0 + -147.7594738 = -147.7594738 -3.283543863x + x2 = -147.7594738 The x term is -3.283543863x. Take half its coefficient (-1.641771932). Square it (2.695415077) and add it to both sides. Add '2.695415077' to each side of the equation. -3.283543863x + 2.695415077 + x2 = -147.7594738 + 2.695415077 Reorder the terms: 2.695415077 + -3.283543863x + x2 = -147.7594738 + 2.695415077 Combine like terms: -147.7594738 + 2.695415077 = -145.064058723 2.695415077 + -3.283543863x + x2 = -145.064058723 Factor a perfect square on the left side: (x + -1.641771932)(x + -1.641771932) = -145.064058723 Can't calculate square root of the right side. The solution to this equation could not be determined.
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