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Simplifying -5x2 = -15x + 13 Reorder the terms: -5x2 = 13 + -15x Solving -5x2 = 13 + -15x Solving for variable 'x'. Reorder the terms: -13 + 15x + -5x2 = 13 + -15x + -13 + 15x Reorder the terms: -13 + 15x + -5x2 = 13 + -13 + -15x + 15x Combine like terms: 13 + -13 = 0 -13 + 15x + -5x2 = 0 + -15x + 15x -13 + 15x + -5x2 = -15x + 15x Combine like terms: -15x + 15x = 0 -13 + 15x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2.6 + -3x + x2 = 0 Move the constant term to the right: Add '-2.6' to each side of the equation. 2.6 + -3x + -2.6 + x2 = 0 + -2.6 Reorder the terms: 2.6 + -2.6 + -3x + x2 = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -3x + x2 = 0 + -2.6 -3x + x2 = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 -3x + x2 = -2.6 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 = -2.6 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -2.6 + 2.25 Combine like terms: -2.6 + 2.25 = -0.35 2.25 + -3x + x2 = -0.35 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -0.35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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