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Simplifying (3x + -11) + -1(x2 + 2x + 3) = 0 Reorder the terms: (-11 + 3x) + -1(x2 + 2x + 3) = 0 Remove parenthesis around (-11 + 3x) -11 + 3x + -1(x2 + 2x + 3) = 0 Reorder the terms: -11 + 3x + -1(3 + 2x + x2) = 0 -11 + 3x + (3 * -1 + 2x * -1 + x2 * -1) = 0 -11 + 3x + (-3 + -2x + -1x2) = 0 Reorder the terms: -11 + -3 + 3x + -2x + -1x2 = 0 Combine like terms: -11 + -3 = -14 -14 + 3x + -2x + -1x2 = 0 Combine like terms: 3x + -2x = 1x -14 + 1x + -1x2 = 0 Solving -14 + 1x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 14 + -1x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -1x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -1x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x + x2 = 0 + -14 -1x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -1x + x2 = -14 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. -1x + 0.25 + x2 = -14 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -14 + 0.25 Combine like terms: -14 + 0.25 = -13.75 0.25 + -1x + x2 = -13.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -13.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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