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Simplifying (2x2 + 3x + -1) + (3x2 + -2x + 5) = 0 Reorder the terms: (-1 + 3x + 2x2) + (3x2 + -2x + 5) = 0 Remove parenthesis around (-1 + 3x + 2x2) -1 + 3x + 2x2 + (3x2 + -2x + 5) = 0 Reorder the terms: -1 + 3x + 2x2 + (5 + -2x + 3x2) = 0 Remove parenthesis around (5 + -2x + 3x2) -1 + 3x + 2x2 + 5 + -2x + 3x2 = 0 Reorder the terms: -1 + 5 + 3x + -2x + 2x2 + 3x2 = 0 Combine like terms: -1 + 5 = 4 4 + 3x + -2x + 2x2 + 3x2 = 0 Combine like terms: 3x + -2x = 1x 4 + 1x + 2x2 + 3x2 = 0 Combine like terms: 2x2 + 3x2 = 5x2 4 + 1x + 5x2 = 0 Solving 4 + 1x + 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'. 0.8 + 0.2x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 0.2x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 0.2x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.2x + x2 = 0 + -0.8 0.2x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 0.2x + x2 = -0.8 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 = -0.8 + 0.01 Reorder the terms: 0.01 + 0.2x + x2 = -0.8 + 0.01 Combine like terms: -0.8 + 0.01 = -0.79 0.01 + 0.2x + x2 = -0.79 Factor a perfect square on the left side: (x + 0.1)(x + 0.1) = -0.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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