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Simplifying 0.6x2 + 9 = x Reorder the terms: 9 + 0.6x2 = x Solving 9 + 0.6x2 = x Solving for variable 'x'. Reorder the terms: 9 + -1x + 0.6x2 = x + -1x Combine like terms: x + -1x = 0 9 + -1x + 0.6x2 = 0 Begin completing the square. Divide all terms by 0.6 the coefficient of the squared term: Divide each side by '0.6'. 15 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -1.666666667x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -1.666666667x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1.666666667x + x2 = 0 + -15 -1.666666667x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -1.666666667x + x2 = -15 The x term is -1.666666667x. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667x + 0.6944444447 + x2 = -15 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -15 + 0.6944444447 Combine like terms: -15 + 0.6944444447 = -14.3055555553 0.6944444447 + -1.666666667x + x2 = -14.3055555553 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -14.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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