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Simplifying 5x2 = 10x + -13 Reorder the terms: 5x2 = -13 + 10x Solving 5x2 = -13 + 10x Solving for variable 'x'. Reorder the terms: 13 + -10x + 5x2 = -13 + 10x + 13 + -10x Reorder the terms: 13 + -10x + 5x2 = -13 + 13 + 10x + -10x Combine like terms: -13 + 13 = 0 13 + -10x + 5x2 = 0 + 10x + -10x 13 + -10x + 5x2 = 10x + -10x Combine like terms: 10x + -10x = 0 13 + -10x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.6 + -2x + x2 = 0 Move the constant term to the right: Add '-2.6' to each side of the equation. 2.6 + -2x + -2.6 + x2 = 0 + -2.6 Reorder the terms: 2.6 + -2.6 + -2x + x2 = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -2x + x2 = 0 + -2.6 -2x + x2 = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 -2x + x2 = -2.6 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 = -2.6 + 1 Reorder the terms: 1 + -2x + x2 = -2.6 + 1 Combine like terms: -2.6 + 1 = -1.6 1 + -2x + x2 = -1.6 Factor a perfect square on the left side: (x + -1)(x + -1) = -1.6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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