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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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