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Simplifying -2x + -3x = x(-2x + -6) + -930 Combine like terms: -2x + -3x = -5x -5x = x(-2x + -6) + -930 Reorder the terms: -5x = x(-6 + -2x) + -930 -5x = (-6 * x + -2x * x) + -930 -5x = (-6x + -2x2) + -930 Reorder the terms: -5x = -930 + -6x + -2x2 Solving -5x = -930 + -6x + -2x2 Solving for variable 'x'. Reorder the terms: 930 + -5x + 6x + 2x2 = -930 + -6x + -2x2 + 930 + 6x + 2x2 Combine like terms: -5x + 6x = 1x 930 + 1x + 2x2 = -930 + -6x + -2x2 + 930 + 6x + 2x2 Reorder the terms: 930 + 1x + 2x2 = -930 + 930 + -6x + 6x + -2x2 + 2x2 Combine like terms: -930 + 930 = 0 930 + 1x + 2x2 = 0 + -6x + 6x + -2x2 + 2x2 930 + 1x + 2x2 = -6x + 6x + -2x2 + 2x2 Combine like terms: -6x + 6x = 0 930 + 1x + 2x2 = 0 + -2x2 + 2x2 930 + 1x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 930 + 1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 465 + 0.5x + x2 = 0 Move the constant term to the right: Add '-465' to each side of the equation. 465 + 0.5x + -465 + x2 = 0 + -465 Reorder the terms: 465 + -465 + 0.5x + x2 = 0 + -465 Combine like terms: 465 + -465 = 0 0 + 0.5x + x2 = 0 + -465 0.5x + x2 = 0 + -465 Combine like terms: 0 + -465 = -465 0.5x + x2 = -465 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -465 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -465 + 0.0625 Combine like terms: -465 + 0.0625 = -464.9375 0.0625 + 0.5x + x2 = -464.9375 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -464.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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