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Simplifying x = 4x2 + -24x + 81 Reorder the terms: x = 81 + -24x + 4x2 Solving x = 81 + -24x + 4x2 Solving for variable 'x'. Reorder the terms: -81 + x + 24x + -4x2 = 81 + -24x + 4x2 + -81 + 24x + -4x2 Combine like terms: x + 24x = 25x -81 + 25x + -4x2 = 81 + -24x + 4x2 + -81 + 24x + -4x2 Reorder the terms: -81 + 25x + -4x2 = 81 + -81 + -24x + 24x + 4x2 + -4x2 Combine like terms: 81 + -81 = 0 -81 + 25x + -4x2 = 0 + -24x + 24x + 4x2 + -4x2 -81 + 25x + -4x2 = -24x + 24x + 4x2 + -4x2 Combine like terms: -24x + 24x = 0 -81 + 25x + -4x2 = 0 + 4x2 + -4x2 -81 + 25x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -81 + 25x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 20.25 + -6.25x + x2 = 0 Move the constant term to the right: Add '-20.25' to each side of the equation. 20.25 + -6.25x + -20.25 + x2 = 0 + -20.25 Reorder the terms: 20.25 + -20.25 + -6.25x + x2 = 0 + -20.25 Combine like terms: 20.25 + -20.25 = 0.00 0.00 + -6.25x + x2 = 0 + -20.25 -6.25x + x2 = 0 + -20.25 Combine like terms: 0 + -20.25 = -20.25 -6.25x + x2 = -20.25 The x term is -6.25x. Take half its coefficient (-3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. -6.25x + 9.765625 + x2 = -20.25 + 9.765625 Reorder the terms: 9.765625 + -6.25x + x2 = -20.25 + 9.765625 Combine like terms: -20.25 + 9.765625 = -10.484375 9.765625 + -6.25x + x2 = -10.484375 Factor a perfect square on the left side: (x + -3.125)(x + -3.125) = -10.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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