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Simplifying (2x2 + -4x + 3) + (-1x2 + 5x + 6) = 0 Reorder the terms: (3 + -4x + 2x2) + (-1x2 + 5x + 6) = 0 Remove parenthesis around (3 + -4x + 2x2) 3 + -4x + 2x2 + (-1x2 + 5x + 6) = 0 Reorder the terms: 3 + -4x + 2x2 + (6 + 5x + -1x2) = 0 Remove parenthesis around (6 + 5x + -1x2) 3 + -4x + 2x2 + 6 + 5x + -1x2 = 0 Reorder the terms: 3 + 6 + -4x + 5x + 2x2 + -1x2 = 0 Combine like terms: 3 + 6 = 9 9 + -4x + 5x + 2x2 + -1x2 = 0 Combine like terms: -4x + 5x = 1x 9 + 1x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 9 + 1x + 1x2 = 0 Solving 9 + 1x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 1x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 1x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1x + x2 = 0 + -9 1x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 1x + x2 = -9 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -9 + 0.25 Reorder the terms: 0.25 + x + x2 = -9 + 0.25 Combine like terms: -9 + 0.25 = -8.75 0.25 + x + x2 = -8.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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