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Simplifying 5x2 + 6x = 5x + -2 Reorder the terms: 6x + 5x2 = 5x + -2 Reorder the terms: 6x + 5x2 = -2 + 5x Solving 6x + 5x2 = -2 + 5x Solving for variable 'x'. Reorder the terms: 2 + 6x + -5x + 5x2 = -2 + 5x + 2 + -5x Combine like terms: 6x + -5x = 1x 2 + 1x + 5x2 = -2 + 5x + 2 + -5x Reorder the terms: 2 + 1x + 5x2 = -2 + 2 + 5x + -5x Combine like terms: -2 + 2 = 0 2 + 1x + 5x2 = 0 + 5x + -5x 2 + 1x + 5x2 = 5x + -5x Combine like terms: 5x + -5x = 0 2 + 1x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 0.2x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.2x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.2x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.2x + x2 = 0 + -0.4 0.2x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.2x + x2 = -0.4 The x term is 0.2x. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2x + 0.01 + x2 = -0.4 + 0.01 Reorder the terms: 0.01 + 0.2x + x2 = -0.4 + 0.01 Combine like terms: -0.4 + 0.01 = -0.39 0.01 + 0.2x + x2 = -0.39 Factor a perfect square on the left side: (x + 0.1)(x + 0.1) = -0.39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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