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Simplifying (3X2 + X + 1) + -1(2X2 + -3X + -5) = 0 Reorder the terms: (1 + X + 3X2) + -1(2X2 + -3X + -5) = 0 Remove parenthesis around (1 + X + 3X2) 1 + X + 3X2 + -1(2X2 + -3X + -5) = 0 Reorder the terms: 1 + X + 3X2 + -1(-5 + -3X + 2X2) = 0 1 + X + 3X2 + (-5 * -1 + -3X * -1 + 2X2 * -1) = 0 1 + X + 3X2 + (5 + 3X + -2X2) = 0 Reorder the terms: 1 + 5 + X + 3X + 3X2 + -2X2 = 0 Combine like terms: 1 + 5 = 6 6 + X + 3X + 3X2 + -2X2 = 0 Combine like terms: X + 3X = 4X 6 + 4X + 3X2 + -2X2 = 0 Combine like terms: 3X2 + -2X2 = 1X2 6 + 4X + 1X2 = 0 Solving 6 + 4X + 1X2 = 0 Solving for variable 'X'. Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + 4X + -6 + X2 = 0 + -6 Reorder the terms: 6 + -6 + 4X + X2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4X + X2 = 0 + -6 4X + X2 = 0 + -6 Combine like terms: 0 + -6 = -6 4X + X2 = -6 The X term is 4X. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4X + 4 + X2 = -6 + 4 Reorder the terms: 4 + 4X + X2 = -6 + 4 Combine like terms: -6 + 4 = -2 4 + 4X + X2 = -2 Factor a perfect square on the left side: (X + 2)(X + 2) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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