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Simplifying (3x2 + -2x + 2) + -1(x2 + 5x + -5) = 0 Reorder the terms: (2 + -2x + 3x2) + -1(x2 + 5x + -5) = 0 Remove parenthesis around (2 + -2x + 3x2) 2 + -2x + 3x2 + -1(x2 + 5x + -5) = 0 Reorder the terms: 2 + -2x + 3x2 + -1(-5 + 5x + x2) = 0 2 + -2x + 3x2 + (-5 * -1 + 5x * -1 + x2 * -1) = 0 2 + -2x + 3x2 + (5 + -5x + -1x2) = 0 Reorder the terms: 2 + 5 + -2x + -5x + 3x2 + -1x2 = 0 Combine like terms: 2 + 5 = 7 7 + -2x + -5x + 3x2 + -1x2 = 0 Combine like terms: -2x + -5x = -7x 7 + -7x + 3x2 + -1x2 = 0 Combine like terms: 3x2 + -1x2 = 2x2 7 + -7x + 2x2 = 0 Solving 7 + -7x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + -3.5x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -3.5x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -3.5x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -3.5x + x2 = 0 + -3.5 -3.5x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -3.5x + x2 = -3.5 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -3.5 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -3.5 + 3.0625 Combine like terms: -3.5 + 3.0625 = -0.4375 3.0625 + -3.5x + x2 = -0.4375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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