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Simplifying (7x2 + x + 9) + -1(3x2 + 4x + -5) = 0 Reorder the terms: (9 + x + 7x2) + -1(3x2 + 4x + -5) = 0 Remove parenthesis around (9 + x + 7x2) 9 + x + 7x2 + -1(3x2 + 4x + -5) = 0 Reorder the terms: 9 + x + 7x2 + -1(-5 + 4x + 3x2) = 0 9 + x + 7x2 + (-5 * -1 + 4x * -1 + 3x2 * -1) = 0 9 + x + 7x2 + (5 + -4x + -3x2) = 0 Reorder the terms: 9 + 5 + x + -4x + 7x2 + -3x2 = 0 Combine like terms: 9 + 5 = 14 14 + x + -4x + 7x2 + -3x2 = 0 Combine like terms: x + -4x = -3x 14 + -3x + 7x2 + -3x2 = 0 Combine like terms: 7x2 + -3x2 = 4x2 14 + -3x + 4x2 = 0 Solving 14 + -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'. 3.5 + -0.75x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -0.75x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -0.75x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.75x + x2 = 0 + -3.5 -0.75x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -0.75x + x2 = -3.5 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 = -3.5 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -3.5 + 0.140625 Combine like terms: -3.5 + 0.140625 = -3.359375 0.140625 + -0.75x + x2 = -3.359375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -3.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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