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Simplifying -4x2 = -1x + 15 Reorder the terms: -4x2 = 15 + -1x Solving -4x2 = 15 + -1x Solving for variable 'x'. Reorder the terms: -15 + x + -4x2 = 15 + -1x + -15 + x Reorder the terms: -15 + x + -4x2 = 15 + -15 + -1x + x Combine like terms: 15 + -15 = 0 -15 + x + -4x2 = 0 + -1x + x -15 + x + -4x2 = -1x + x Combine like terms: -1x + x = 0 -15 + x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 3.75 + -0.25x + x2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + -0.25x + -3.75 + x2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + -0.25x + x2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -0.25x + x2 = 0 + -3.75 -0.25x + x2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 -0.25x + x2 = -3.75 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.25x + 0.25 + x2 = -3.75 + 0.25 Reorder the terms: 0.25 + -0.25x + x2 = -3.75 + 0.25 Combine like terms: -3.75 + 0.25 = -3.5 0.25 + -0.25x + x2 = -3.5 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -3.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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