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Simplifying 4x2 + -59x + 624 = 0 Reorder the terms: 624 + -59x + 4x2 = 0 Solving 624 + -59x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 156 + -14.75x + x2 = 0 Move the constant term to the right: Add '-156' to each side of the equation. 156 + -14.75x + -156 + x2 = 0 + -156 Reorder the terms: 156 + -156 + -14.75x + x2 = 0 + -156 Combine like terms: 156 + -156 = 0 0 + -14.75x + x2 = 0 + -156 -14.75x + x2 = 0 + -156 Combine like terms: 0 + -156 = -156 -14.75x + x2 = -156 The x term is -14.75x. Take half its coefficient (-7.375). Square it (54.390625) and add it to both sides. Add '54.390625' to each side of the equation. -14.75x + 54.390625 + x2 = -156 + 54.390625 Reorder the terms: 54.390625 + -14.75x + x2 = -156 + 54.390625 Combine like terms: -156 + 54.390625 = -101.609375 54.390625 + -14.75x + x2 = -101.609375 Factor a perfect square on the left side: (x + -7.375)(x + -7.375) = -101.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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