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Simplifying (4x2 + -1x + 3) + -1(3x2 + -5x + -6) = 0 Reorder the terms: (3 + -1x + 4x2) + -1(3x2 + -5x + -6) = 0 Remove parenthesis around (3 + -1x + 4x2) 3 + -1x + 4x2 + -1(3x2 + -5x + -6) = 0 Reorder the terms: 3 + -1x + 4x2 + -1(-6 + -5x + 3x2) = 0 3 + -1x + 4x2 + (-6 * -1 + -5x * -1 + 3x2 * -1) = 0 3 + -1x + 4x2 + (6 + 5x + -3x2) = 0 Reorder the terms: 3 + 6 + -1x + 5x + 4x2 + -3x2 = 0 Combine like terms: 3 + 6 = 9 9 + -1x + 5x + 4x2 + -3x2 = 0 Combine like terms: -1x + 5x = 4x 9 + 4x + 4x2 + -3x2 = 0 Combine like terms: 4x2 + -3x2 = 1x2 9 + 4x + 1x2 = 0 Solving 9 + 4x + 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 + 4x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 4x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x + x2 = 0 + -9 4x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 4x + x2 = -9 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 = -9 + 4 Reorder the terms: 4 + 4x + x2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + 4x + x2 = -5 Factor a perfect square on the left side: (x + 2)(x + 2) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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