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Simplifying 5x2 + -36x + 66 = 0 Reorder the terms: 66 + -36x + 5x2 = 0 Solving 66 + -36x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 13.2 + -7.2x + x2 = 0 Move the constant term to the right: Add '-13.2' to each side of the equation. 13.2 + -7.2x + -13.2 + x2 = 0 + -13.2 Reorder the terms: 13.2 + -13.2 + -7.2x + x2 = 0 + -13.2 Combine like terms: 13.2 + -13.2 = 0.0 0.0 + -7.2x + x2 = 0 + -13.2 -7.2x + x2 = 0 + -13.2 Combine like terms: 0 + -13.2 = -13.2 -7.2x + x2 = -13.2 The x term is -7.2x. Take half its coefficient (-3.6). Square it (12.96) and add it to both sides. Add '12.96' to each side of the equation. -7.2x + 12.96 + x2 = -13.2 + 12.96 Reorder the terms: 12.96 + -7.2x + x2 = -13.2 + 12.96 Combine like terms: -13.2 + 12.96 = -0.24 12.96 + -7.2x + x2 = -0.24 Factor a perfect square on the left side: (x + -3.6)(x + -3.6) = -0.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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