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Simplifying 5x2 + -6x + 7 + 8x + 4 + 5x2 = 0 Reorder the terms: 7 + 4 + -6x + 8x + 5x2 + 5x2 = 0 Combine like terms: 7 + 4 = 11 11 + -6x + 8x + 5x2 + 5x2 = 0 Combine like terms: -6x + 8x = 2x 11 + 2x + 5x2 + 5x2 = 0 Combine like terms: 5x2 + 5x2 = 10x2 11 + 2x + 10x2 = 0 Solving 11 + 2x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.1 + 0.2x + x2 = 0.0 Move the constant term to the right: Add '-1.1' to each side of the equation. 1.1 + 0.2x + -1.1 + x2 = 0.0 + -1.1 Reorder the terms: 1.1 + -1.1 + 0.2x + x2 = 0.0 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + 0.2x + x2 = 0.0 + -1.1 0.2x + x2 = 0.0 + -1.1 Combine like terms: 0.0 + -1.1 = -1.1 0.2x + x2 = -1.1 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 = -1.1 + 0.01 Reorder the terms: 0.01 + 0.2x + x2 = -1.1 + 0.01 Combine like terms: -1.1 + 0.01 = -1.09 0.01 + 0.2x + x2 = -1.09 Factor a perfect square on the left side: (x + 0.1)(x + 0.1) = -1.09 Can't calculate square root of the right side. The solution to this equation could not be determined.
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