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Simplifying 5x2 + 6x = -13 Reorder the terms: 6x + 5x2 = -13 Solving 6x + 5x2 = -13 Solving for variable 'x'. Reorder the terms: 13 + 6x + 5x2 = -13 + 13 Combine like terms: -13 + 13 = 0 13 + 6x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.6 + 1.2x + x2 = 0 Move the constant term to the right: Add '-2.6' to each side of the equation. 2.6 + 1.2x + -2.6 + x2 = 0 + -2.6 Reorder the terms: 2.6 + -2.6 + 1.2x + x2 = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 1.2x + x2 = 0 + -2.6 1.2x + x2 = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 1.2x + x2 = -2.6 The x term is 1.2x. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2x + 0.36 + x2 = -2.6 + 0.36 Reorder the terms: 0.36 + 1.2x + x2 = -2.6 + 0.36 Combine like terms: -2.6 + 0.36 = -2.24 0.36 + 1.2x + x2 = -2.24 Factor a perfect square on the left side: (x + 0.6)(x + 0.6) = -2.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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