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Simplifying (x + 1.5)(x + 1.5) = -0.75 Reorder the terms: (1.5 + x)(x + 1.5) = -0.75 Reorder the terms: (1.5 + x)(1.5 + x) = -0.75 Multiply (1.5 + x) * (1.5 + x) (1.5(1.5 + x) + x(1.5 + x)) = -0.75 ((1.5 * 1.5 + x * 1.5) + x(1.5 + x)) = -0.75 ((2.25 + 1.5x) + x(1.5 + x)) = -0.75 (2.25 + 1.5x + (1.5 * x + x * x)) = -0.75 (2.25 + 1.5x + (1.5x + x2)) = -0.75 Combine like terms: 1.5x + 1.5x = 3x (2.25 + 3x + x2) = -0.75 Solving 2.25 + 3x + x2 = -0.75 Solving for variable 'x'. Reorder the terms: 2.25 + 0.75 + 3x + x2 = -0.75 + 0.75 Combine like terms: 2.25 + 0.75 = 3 3 + 3x + x2 = -0.75 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 3 + 3x + x2 = 0.00 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 3x + -3 + x2 = 0.00 + -3 Reorder the terms: 3 + -3 + 3x + x2 = 0.00 + -3 Combine like terms: 3 + -3 = 0 0 + 3x + x2 = 0.00 + -3 3x + x2 = 0.00 + -3 Combine like terms: 0.00 + -3 = -3 3x + x2 = -3 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -3 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -3 + 2.25 Combine like terms: -3 + 2.25 = -0.75 2.25 + 3x + x2 = -0.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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