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Simplifying 5x2 + -36x + 75 = 0 Reorder the terms: 75 + -36x + 5x2 = 0 Solving 75 + -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'. 15 + -7.2x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -7.2x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -7.2x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -7.2x + x2 = 0 + -15 -7.2x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -7.2x + x2 = -15 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 = -15 + 12.96 Reorder the terms: 12.96 + -7.2x + x2 = -15 + 12.96 Combine like terms: -15 + 12.96 = -2.04 12.96 + -7.2x + x2 = -2.04 Factor a perfect square on the left side: (x + -3.6)(x + -3.6) = -2.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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