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Simplifying 15000 = -0.02x2 + 0.4x + 17 Reorder the terms: 15000 = 17 + 0.4x + -0.02x2 Solving 15000 = 17 + 0.4x + -0.02x2 Solving for variable 'x'. Combine like terms: 15000 + -17 = 14983 14983 + -0.4x + 0.02x2 = 17 + 0.4x + -0.02x2 + -17 + -0.4x + 0.02x2 Reorder the terms: 14983 + -0.4x + 0.02x2 = 17 + -17 + 0.4x + -0.4x + -0.02x2 + 0.02x2 Combine like terms: 17 + -17 = 0 14983 + -0.4x + 0.02x2 = 0 + 0.4x + -0.4x + -0.02x2 + 0.02x2 14983 + -0.4x + 0.02x2 = 0.4x + -0.4x + -0.02x2 + 0.02x2 Combine like terms: 0.4x + -0.4x = 0.0 14983 + -0.4x + 0.02x2 = 0.0 + -0.02x2 + 0.02x2 14983 + -0.4x + 0.02x2 = -0.02x2 + 0.02x2 Combine like terms: -0.02x2 + 0.02x2 = 0.00 14983 + -0.4x + 0.02x2 = 0.00 Begin completing the square. Divide all terms by 0.02 the coefficient of the squared term: Divide each side by '0.02'. 749150 + -20x + x2 = 0 Move the constant term to the right: Add '-749150' to each side of the equation. 749150 + -20x + -749150 + x2 = 0 + -749150 Reorder the terms: 749150 + -749150 + -20x + x2 = 0 + -749150 Combine like terms: 749150 + -749150 = 0 0 + -20x + x2 = 0 + -749150 -20x + x2 = 0 + -749150 Combine like terms: 0 + -749150 = -749150 -20x + x2 = -749150 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -749150 + 100 Reorder the terms: 100 + -20x + x2 = -749150 + 100 Combine like terms: -749150 + 100 = -749050 100 + -20x + x2 = -749050 Factor a perfect square on the left side: (x + -10)(x + -10) = -749050 Can't calculate square root of the right side. The solution to this equation could not be determined.
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