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Simplifying (4x2 + -1x + 11) + (x2 + 3x + -5) = 0 Reorder the terms: (11 + -1x + 4x2) + (x2 + 3x + -5) = 0 Remove parenthesis around (11 + -1x + 4x2) 11 + -1x + 4x2 + (x2 + 3x + -5) = 0 Reorder the terms: 11 + -1x + 4x2 + (-5 + 3x + x2) = 0 Remove parenthesis around (-5 + 3x + x2) 11 + -1x + 4x2 + -5 + 3x + x2 = 0 Reorder the terms: 11 + -5 + -1x + 3x + 4x2 + x2 = 0 Combine like terms: 11 + -5 = 6 6 + -1x + 3x + 4x2 + x2 = 0 Combine like terms: -1x + 3x = 2x 6 + 2x + 4x2 + x2 = 0 Combine like terms: 4x2 + x2 = 5x2 6 + 2x + 5x2 = 0 Solving 6 + 2x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.2 + 0.4x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + 0.4x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + 0.4x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.4x + x2 = 0 + -1.2 0.4x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 0.4x + x2 = -1.2 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = -1.2 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -1.2 + 0.04 Combine like terms: -1.2 + 0.04 = -1.16 0.04 + 0.4x + x2 = -1.16 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -1.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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