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Simplifying 0 = 25x2 + -753x + 36000 Reorder the terms: 0 = 36000 + -753x + 25x2 Solving 0 = 36000 + -753x + 25x2 Solving for variable 'x'. Combine like terms: 0 + -36000 = -36000 -36000 + 753x + -25x2 = 36000 + -753x + 25x2 + -36000 + 753x + -25x2 Reorder the terms: -36000 + 753x + -25x2 = 36000 + -36000 + -753x + 753x + 25x2 + -25x2 Combine like terms: 36000 + -36000 = 0 -36000 + 753x + -25x2 = 0 + -753x + 753x + 25x2 + -25x2 -36000 + 753x + -25x2 = -753x + 753x + 25x2 + -25x2 Combine like terms: -753x + 753x = 0 -36000 + 753x + -25x2 = 0 + 25x2 + -25x2 -36000 + 753x + -25x2 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 -36000 + 753x + -25x2 = 0 Begin completing the square. Divide all terms by -25 the coefficient of the squared term: Divide each side by '-25'. 1440 + -30.12x + x2 = 0 Move the constant term to the right: Add '-1440' to each side of the equation. 1440 + -30.12x + -1440 + x2 = 0 + -1440 Reorder the terms: 1440 + -1440 + -30.12x + x2 = 0 + -1440 Combine like terms: 1440 + -1440 = 0 0 + -30.12x + x2 = 0 + -1440 -30.12x + x2 = 0 + -1440 Combine like terms: 0 + -1440 = -1440 -30.12x + x2 = -1440 The x term is -30.12x. Take half its coefficient (-15.06). Square it (226.8036) and add it to both sides. Add '226.8036' to each side of the equation. -30.12x + 226.8036 + x2 = -1440 + 226.8036 Reorder the terms: 226.8036 + -30.12x + x2 = -1440 + 226.8036 Combine like terms: -1440 + 226.8036 = -1213.1964 226.8036 + -30.12x + x2 = -1213.1964 Factor a perfect square on the left side: (x + -15.06)(x + -15.06) = -1213.1964 Can't calculate square root of the right side. The solution to this equation could not be determined.
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