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Simplifying 0 = 0.3x2 + -48.6x + 13500 Reorder the terms: 0 = 13500 + -48.6x + 0.3x2 Solving 0 = 13500 + -48.6x + 0.3x2 Solving for variable 'x'. Combine like terms: 0 + -13500 = -13500 -13500 + 48.6x + -0.3x2 = 13500 + -48.6x + 0.3x2 + -13500 + 48.6x + -0.3x2 Reorder the terms: -13500 + 48.6x + -0.3x2 = 13500 + -13500 + -48.6x + 48.6x + 0.3x2 + -0.3x2 Combine like terms: 13500 + -13500 = 0 -13500 + 48.6x + -0.3x2 = 0 + -48.6x + 48.6x + 0.3x2 + -0.3x2 -13500 + 48.6x + -0.3x2 = -48.6x + 48.6x + 0.3x2 + -0.3x2 Combine like terms: -48.6x + 48.6x = 0.0 -13500 + 48.6x + -0.3x2 = 0.0 + 0.3x2 + -0.3x2 -13500 + 48.6x + -0.3x2 = 0.3x2 + -0.3x2 Combine like terms: 0.3x2 + -0.3x2 = 0.0 -13500 + 48.6x + -0.3x2 = 0.0 Begin completing the square. Divide all terms by -0.3 the coefficient of the squared term: Divide each side by '-0.3'. 45000 + -162x + x2 = 0 Move the constant term to the right: Add '-45000' to each side of the equation. 45000 + -162x + -45000 + x2 = 0 + -45000 Reorder the terms: 45000 + -45000 + -162x + x2 = 0 + -45000 Combine like terms: 45000 + -45000 = 0 0 + -162x + x2 = 0 + -45000 -162x + x2 = 0 + -45000 Combine like terms: 0 + -45000 = -45000 -162x + x2 = -45000 The x term is -162x. Take half its coefficient (-81). Square it (6561) and add it to both sides. Add '6561' to each side of the equation. -162x + 6561 + x2 = -45000 + 6561 Reorder the terms: 6561 + -162x + x2 = -45000 + 6561 Combine like terms: -45000 + 6561 = -38439 6561 + -162x + x2 = -38439 Factor a perfect square on the left side: (x + -81)(x + -81) = -38439 Can't calculate square root of the right side. The solution to this equation could not be determined.
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