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Simplifying 10 = 1.5x(2 + -1x) 10 = (2 * 1.5x + -1x * 1.5x) 10 = (3x + -1.5x2) Solving 10 = 3x + -1.5x2 Solving for variable 'x'. Reorder the terms: 10 + -3x + 1.5x2 = 3x + -3x + -1.5x2 + 1.5x2 Combine like terms: 3x + -3x = 0 10 + -3x + 1.5x2 = 0 + -1.5x2 + 1.5x2 10 + -3x + 1.5x2 = -1.5x2 + 1.5x2 Combine like terms: -1.5x2 + 1.5x2 = 0.0 10 + -3x + 1.5x2 = 0.0 Begin completing the square. Divide all terms by 1.5 the coefficient of the squared term: Divide each side by '1.5'. 6.666666667 + -2x + x2 = 0 Move the constant term to the right: Add '-6.666666667' to each side of the equation. 6.666666667 + -2x + -6.666666667 + x2 = 0 + -6.666666667 Reorder the terms: 6.666666667 + -6.666666667 + -2x + x2 = 0 + -6.666666667 Combine like terms: 6.666666667 + -6.666666667 = 0.000000000 0.000000000 + -2x + x2 = 0 + -6.666666667 -2x + x2 = 0 + -6.666666667 Combine like terms: 0 + -6.666666667 = -6.666666667 -2x + x2 = -6.666666667 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -6.666666667 + 1 Reorder the terms: 1 + -2x + x2 = -6.666666667 + 1 Combine like terms: -6.666666667 + 1 = -5.666666667 1 + -2x + x2 = -5.666666667 Factor a perfect square on the left side: (x + -1)(x + -1) = -5.666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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