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Simplifying 9x2 + 10x + 12 + 9x2 + -21x + -4 = 0 Reorder the terms: 12 + -4 + 10x + -21x + 9x2 + 9x2 = 0 Combine like terms: 12 + -4 = 8 8 + 10x + -21x + 9x2 + 9x2 = 0 Combine like terms: 10x + -21x = -11x 8 + -11x + 9x2 + 9x2 = 0 Combine like terms: 9x2 + 9x2 = 18x2 8 + -11x + 18x2 = 0 Solving 8 + -11x + 18x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.4444444444 + -0.6111111111x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.6111111111x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.6111111111x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.6111111111x + x2 = 0 + -0.4444444444 -0.6111111111x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.6111111111x + x2 = -0.4444444444 The x term is -0.6111111111x. Take half its coefficient (-0.3055555556). Square it (0.09336419756) and add it to both sides. Add '0.09336419756' to each side of the equation. -0.6111111111x + 0.09336419756 + x2 = -0.4444444444 + 0.09336419756 Reorder the terms: 0.09336419756 + -0.6111111111x + x2 = -0.4444444444 + 0.09336419756 Combine like terms: -0.4444444444 + 0.09336419756 = -0.35108024684 0.09336419756 + -0.6111111111x + x2 = -0.35108024684 Factor a perfect square on the left side: (x + -0.3055555556)(x + -0.3055555556) = -0.35108024684 Can't calculate square root of the right side. The solution to this equation could not be determined.
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