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Simplifying (x2 + 3x + -4) + -1(5x2 + 7) = 0 Reorder the terms: (-4 + 3x + x2) + -1(5x2 + 7) = 0 Remove parenthesis around (-4 + 3x + x2) -4 + 3x + x2 + -1(5x2 + 7) = 0 Reorder the terms: -4 + 3x + x2 + -1(7 + 5x2) = 0 -4 + 3x + x2 + (7 * -1 + 5x2 * -1) = 0 -4 + 3x + x2 + (-7 + -5x2) = 0 Reorder the terms: -4 + -7 + 3x + x2 + -5x2 = 0 Combine like terms: -4 + -7 = -11 -11 + 3x + x2 + -5x2 = 0 Combine like terms: x2 + -5x2 = -4x2 -11 + 3x + -4x2 = 0 Solving -11 + 3x + -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'. 2.75 + -0.75x + x2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -0.75x + -2.75 + x2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -0.75x + x2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -0.75x + x2 = 0 + -2.75 -0.75x + x2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -0.75x + x2 = -2.75 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -2.75 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -2.75 + 0.140625 Combine like terms: -2.75 + 0.140625 = -2.609375 0.140625 + -0.75x + x2 = -2.609375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -2.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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