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Simplifying (3x2 + x + 7) + (7x2 + 8x + -3) = 0 Reorder the terms: (7 + x + 3x2) + (7x2 + 8x + -3) = 0 Remove parenthesis around (7 + x + 3x2) 7 + x + 3x2 + (7x2 + 8x + -3) = 0 Reorder the terms: 7 + x + 3x2 + (-3 + 8x + 7x2) = 0 Remove parenthesis around (-3 + 8x + 7x2) 7 + x + 3x2 + -3 + 8x + 7x2 = 0 Reorder the terms: 7 + -3 + x + 8x + 3x2 + 7x2 = 0 Combine like terms: 7 + -3 = 4 4 + x + 8x + 3x2 + 7x2 = 0 Combine like terms: x + 8x = 9x 4 + 9x + 3x2 + 7x2 = 0 Combine like terms: 3x2 + 7x2 = 10x2 4 + 9x + 10x2 = 0 Solving 4 + 9x + 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'. 0.4 + 0.9x + x2 = 0.0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.9x + -0.4 + x2 = 0.0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.9x + x2 = 0.0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.9x + x2 = 0.0 + -0.4 0.9x + x2 = 0.0 + -0.4 Combine like terms: 0.0 + -0.4 = -0.4 0.9x + x2 = -0.4 The x term is 0.9x. Take half its coefficient (0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. 0.9x + 0.2025 + x2 = -0.4 + 0.2025 Reorder the terms: 0.2025 + 0.9x + x2 = -0.4 + 0.2025 Combine like terms: -0.4 + 0.2025 = -0.1975 0.2025 + 0.9x + x2 = -0.1975 Factor a perfect square on the left side: (x + 0.45)(x + 0.45) = -0.1975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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