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Simplifying 9x2 + -16x + 60 = x Reorder the terms: 60 + -16x + 9x2 = x Solving 60 + -16x + 9x2 = x Solving for variable 'x'. Reorder the terms: 60 + -16x + -1x + 9x2 = x + -1x Combine like terms: -16x + -1x = -17x 60 + -17x + 9x2 = x + -1x Combine like terms: x + -1x = 0 60 + -17x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 6.666666667 + -1.888888889x + x2 = 0 Move the constant term to the right: Add '-6.666666667' to each side of the equation. 6.666666667 + -1.888888889x + -6.666666667 + x2 = 0 + -6.666666667 Reorder the terms: 6.666666667 + -6.666666667 + -1.888888889x + x2 = 0 + -6.666666667 Combine like terms: 6.666666667 + -6.666666667 = 0.000000000 0.000000000 + -1.888888889x + x2 = 0 + -6.666666667 -1.888888889x + x2 = 0 + -6.666666667 Combine like terms: 0 + -6.666666667 = -6.666666667 -1.888888889x + x2 = -6.666666667 The x term is -1.888888889x. Take half its coefficient (-0.9444444445). Square it (0.8919753087) and add it to both sides. Add '0.8919753087' to each side of the equation. -1.888888889x + 0.8919753087 + x2 = -6.666666667 + 0.8919753087 Reorder the terms: 0.8919753087 + -1.888888889x + x2 = -6.666666667 + 0.8919753087 Combine like terms: -6.666666667 + 0.8919753087 = -5.7746913583 0.8919753087 + -1.888888889x + x2 = -5.7746913583 Factor a perfect square on the left side: (x + -0.9444444445)(x + -0.9444444445) = -5.7746913583 Can't calculate square root of the right side. The solution to this equation could not be determined.
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