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Simplifying 6x2 + -3x = -22 Reorder the terms: -3x + 6x2 = -22 Solving -3x + 6x2 = -22 Solving for variable 'x'. Reorder the terms: 22 + -3x + 6x2 = -22 + 22 Combine like terms: -22 + 22 = 0 22 + -3x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 3.666666667 + -0.5x + x2 = 0 Move the constant term to the right: Add '-3.666666667' to each side of the equation. 3.666666667 + -0.5x + -3.666666667 + x2 = 0 + -3.666666667 Reorder the terms: 3.666666667 + -3.666666667 + -0.5x + x2 = 0 + -3.666666667 Combine like terms: 3.666666667 + -3.666666667 = 0.000000000 0.000000000 + -0.5x + x2 = 0 + -3.666666667 -0.5x + x2 = 0 + -3.666666667 Combine like terms: 0 + -3.666666667 = -3.666666667 -0.5x + x2 = -3.666666667 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -3.666666667 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -3.666666667 + 0.0625 Combine like terms: -3.666666667 + 0.0625 = -3.604166667 0.0625 + -0.5x + x2 = -3.604166667 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -3.604166667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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