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Simplifying 9x2 = 4x + -1 Reorder the terms: 9x2 = -1 + 4x Solving 9x2 = -1 + 4x Solving for variable 'x'. Reorder the terms: 1 + -4x + 9x2 = -1 + 4x + 1 + -4x Reorder the terms: 1 + -4x + 9x2 = -1 + 1 + 4x + -4x Combine like terms: -1 + 1 = 0 1 + -4x + 9x2 = 0 + 4x + -4x 1 + -4x + 9x2 = 4x + -4x Combine like terms: 4x + -4x = 0 1 + -4x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.1111111111 + -0.4444444444x + x2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.4444444444x + -0.1111111111 + x2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + -0.4444444444x + x2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + -0.4444444444x + x2 = 0 + -0.1111111111 -0.4444444444x + x2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 -0.4444444444x + x2 = -0.1111111111 The x term is -0.4444444444x. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444x + 0.04938271604 + x2 = -0.1111111111 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444x + x2 = -0.1111111111 + 0.04938271604 Combine like terms: -0.1111111111 + 0.04938271604 = -0.06172839506 0.04938271604 + -0.4444444444x + x2 = -0.06172839506 Factor a perfect square on the left side: (x + -0.2222222222)(x + -0.2222222222) = -0.06172839506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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