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Simplifying 5x2 = -13 + 16x Solving 5x2 = -13 + 16x Solving for variable 'x'. Reorder the terms: 13 + -16x + 5x2 = -13 + 16x + 13 + -16x Reorder the terms: 13 + -16x + 5x2 = -13 + 13 + 16x + -16x Combine like terms: -13 + 13 = 0 13 + -16x + 5x2 = 0 + 16x + -16x 13 + -16x + 5x2 = 16x + -16x Combine like terms: 16x + -16x = 0 13 + -16x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.6 + -3.2x + x2 = 0 Move the constant term to the right: Add '-2.6' to each side of the equation. 2.6 + -3.2x + -2.6 + x2 = 0 + -2.6 Reorder the terms: 2.6 + -2.6 + -3.2x + x2 = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -3.2x + x2 = 0 + -2.6 -3.2x + x2 = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 -3.2x + x2 = -2.6 The x term is -3.2x. Take half its coefficient (-1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. -3.2x + 2.56 + x2 = -2.6 + 2.56 Reorder the terms: 2.56 + -3.2x + x2 = -2.6 + 2.56 Combine like terms: -2.6 + 2.56 = -0.04 2.56 + -3.2x + x2 = -0.04 Factor a perfect square on the left side: (x + -1.6)(x + -1.6) = -0.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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