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Simplifying 1.5x2 + -4x + 60 = 0 Reorder the terms: 60 + -4x + 1.5x2 = 0 Solving 60 + -4x + 1.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1.5 the coefficient of the squared term: Divide each side by '1.5'. 40 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -2.666666667x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -2.666666667x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -2.666666667x + x2 = 0 + -40 -2.666666667x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -2.666666667x + x2 = -40 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = -40 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = -40 + 1.777777780 Combine like terms: -40 + 1.777777780 = -38.22222222 1.777777780 + -2.666666667x + x2 = -38.22222222 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = -38.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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