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Simplifying (3x + -8) + -1(4x2 + -3x + 13) = 0 Reorder the terms: (-8 + 3x) + -1(4x2 + -3x + 13) = 0 Remove parenthesis around (-8 + 3x) -8 + 3x + -1(4x2 + -3x + 13) = 0 Reorder the terms: -8 + 3x + -1(13 + -3x + 4x2) = 0 -8 + 3x + (13 * -1 + -3x * -1 + 4x2 * -1) = 0 -8 + 3x + (-13 + 3x + -4x2) = 0 Reorder the terms: -8 + -13 + 3x + 3x + -4x2 = 0 Combine like terms: -8 + -13 = -21 -21 + 3x + 3x + -4x2 = 0 Combine like terms: 3x + 3x = 6x -21 + 6x + -4x2 = 0 Solving -21 + 6x + -4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 5.25 + -1.5x + x2 = 0 Move the constant term to the right: Add '-5.25' to each side of the equation. 5.25 + -1.5x + -5.25 + x2 = 0 + -5.25 Reorder the terms: 5.25 + -5.25 + -1.5x + x2 = 0 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + -1.5x + x2 = 0 + -5.25 -1.5x + x2 = 0 + -5.25 Combine like terms: 0 + -5.25 = -5.25 -1.5x + x2 = -5.25 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -5.25 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -5.25 + 0.5625 Combine like terms: -5.25 + 0.5625 = -4.6875 0.5625 + -1.5x + x2 = -4.6875 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -4.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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