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Simplifying 25x2 + -45x = -81 Reorder the terms: -45x + 25x2 = -81 Solving -45x + 25x2 = -81 Solving for variable 'x'. Reorder the terms: 81 + -45x + 25x2 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + -45x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 3.24 + -1.8x + x2 = 0 Move the constant term to the right: Add '-3.24' to each side of the equation. 3.24 + -1.8x + -3.24 + x2 = 0 + -3.24 Reorder the terms: 3.24 + -3.24 + -1.8x + x2 = 0 + -3.24 Combine like terms: 3.24 + -3.24 = 0.00 0.00 + -1.8x + x2 = 0 + -3.24 -1.8x + x2 = 0 + -3.24 Combine like terms: 0 + -3.24 = -3.24 -1.8x + x2 = -3.24 The x term is -1.8x. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8x + 0.81 + x2 = -3.24 + 0.81 Reorder the terms: 0.81 + -1.8x + x2 = -3.24 + 0.81 Combine like terms: -3.24 + 0.81 = -2.43 0.81 + -1.8x + x2 = -2.43 Factor a perfect square on the left side: (x + -0.9)(x + -0.9) = -2.43 Can't calculate square root of the right side. The solution to this equation could not be determined.
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