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Simplifying 44 = 15x + (0.5)(-5)(x2) Multiply 0.5 * -5 44 = 15x + -2.5x2 Solving 44 = 15x + -2.5x2 Solving for variable 'x'. Reorder the terms: 44 + -15x + 2.5x2 = 15x + -15x + -2.5x2 + 2.5x2 Combine like terms: 15x + -15x = 0 44 + -15x + 2.5x2 = 0 + -2.5x2 + 2.5x2 44 + -15x + 2.5x2 = -2.5x2 + 2.5x2 Combine like terms: -2.5x2 + 2.5x2 = 0.0 44 + -15x + 2.5x2 = 0.0 Begin completing the square. Divide all terms by 2.5 the coefficient of the squared term: Divide each side by '2.5'. 17.6 + -6x + x2 = 0 Move the constant term to the right: Add '-17.6' to each side of the equation. 17.6 + -6x + -17.6 + x2 = 0 + -17.6 Reorder the terms: 17.6 + -17.6 + -6x + x2 = 0 + -17.6 Combine like terms: 17.6 + -17.6 = 0.0 0.0 + -6x + x2 = 0 + -17.6 -6x + x2 = 0 + -17.6 Combine like terms: 0 + -17.6 = -17.6 -6x + x2 = -17.6 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -17.6 + 9 Reorder the terms: 9 + -6x + x2 = -17.6 + 9 Combine like terms: -17.6 + 9 = -8.6 9 + -6x + x2 = -8.6 Factor a perfect square on the left side: (x + -3)(x + -3) = -8.6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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