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Simplifying 6x + -0.025x2 = 500 Solving 6x + -0.025x2 = 500 Solving for variable 'x'. Reorder the terms: -500 + 6x + -0.025x2 = 500 + -500 Combine like terms: 500 + -500 = 0 -500 + 6x + -0.025x2 = 0 Begin completing the square. Divide all terms by -0.025 the coefficient of the squared term: Divide each side by '-0.025'. 20000 + -240x + x2 = 0 Move the constant term to the right: Add '-20000' to each side of the equation. 20000 + -240x + -20000 + x2 = 0 + -20000 Reorder the terms: 20000 + -20000 + -240x + x2 = 0 + -20000 Combine like terms: 20000 + -20000 = 0 0 + -240x + x2 = 0 + -20000 -240x + x2 = 0 + -20000 Combine like terms: 0 + -20000 = -20000 -240x + x2 = -20000 The x term is -240x. Take half its coefficient (-120). Square it (14400) and add it to both sides. Add '14400' to each side of the equation. -240x + 14400 + x2 = -20000 + 14400 Reorder the terms: 14400 + -240x + x2 = -20000 + 14400 Combine like terms: -20000 + 14400 = -5600 14400 + -240x + x2 = -5600 Factor a perfect square on the left side: (x + -120)(x + -120) = -5600 Can't calculate square root of the right side. The solution to this equation could not be determined.
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