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Simplifying 150 + 36x + 4.5x2 = 0 Solving 150 + 36x + 4.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.5 the coefficient of the squared term: Divide each side by '4.5'. 33.33333333 + 8x + x2 = 0 Move the constant term to the right: Add '-33.33333333' to each side of the equation. 33.33333333 + 8x + -33.33333333 + x2 = 0 + -33.33333333 Reorder the terms: 33.33333333 + -33.33333333 + 8x + x2 = 0 + -33.33333333 Combine like terms: 33.33333333 + -33.33333333 = 0.00000000 0.00000000 + 8x + x2 = 0 + -33.33333333 8x + x2 = 0 + -33.33333333 Combine like terms: 0 + -33.33333333 = -33.33333333 8x + x2 = -33.33333333 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -33.33333333 + 16 Reorder the terms: 16 + 8x + x2 = -33.33333333 + 16 Combine like terms: -33.33333333 + 16 = -17.33333333 16 + 8x + x2 = -17.33333333 Factor a perfect square on the left side: (x + 4)(x + 4) = -17.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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