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Simplifying 0.75x(x + 2) = -1 Reorder the terms: 0.75x(2 + x) = -1 (2 * 0.75x + x * 0.75x) = -1 (1.5x + 0.75x2) = -1 Solving 1.5x + 0.75x2 = -1 Solving for variable 'x'. Reorder the terms: 1 + 1.5x + 0.75x2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 1.5x + 0.75x2 = 0 Begin completing the square. Divide all terms by 0.75 the coefficient of the squared term: Divide each side by '0.75'. 1.333333333 + 2x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 2x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 2x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 2x + x2 = 0 + -1.333333333 2x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 2x + x2 = -1.333333333 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 = -1.333333333 + 1 Reorder the terms: 1 + 2x + x2 = -1.333333333 + 1 Combine like terms: -1.333333333 + 1 = -0.333333333 1 + 2x + x2 = -0.333333333 Factor a perfect square on the left side: (x + 1)(x + 1) = -0.333333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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