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Simplifying 5x2 + 10x + 20 + -7 = 0 Reorder the terms: 20 + -7 + 10x + 5x2 = 0 Combine like terms: 20 + -7 = 13 13 + 10x + 5x2 = 0 Solving 13 + 10x + 5x2 = 0 Solving for variable 'x'. 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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