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Simplifying (2x2 + 2x + 18) + (3x2 + -4x + 13) + -1(x2 + 15x + -2) = 0 Reorder the terms: (18 + 2x + 2x2) + (3x2 + -4x + 13) + -1(x2 + 15x + -2) = 0 Remove parenthesis around (18 + 2x + 2x2) 18 + 2x + 2x2 + (3x2 + -4x + 13) + -1(x2 + 15x + -2) = 0 Reorder the terms: 18 + 2x + 2x2 + (13 + -4x + 3x2) + -1(x2 + 15x + -2) = 0 Remove parenthesis around (13 + -4x + 3x2) 18 + 2x + 2x2 + 13 + -4x + 3x2 + -1(x2 + 15x + -2) = 0 Reorder the terms: 18 + 2x + 2x2 + 13 + -4x + 3x2 + -1(-2 + 15x + x2) = 0 18 + 2x + 2x2 + 13 + -4x + 3x2 + (-2 * -1 + 15x * -1 + x2 * -1) = 0 18 + 2x + 2x2 + 13 + -4x + 3x2 + (2 + -15x + -1x2) = 0 Reorder the terms: 18 + 13 + 2 + 2x + -4x + -15x + 2x2 + 3x2 + -1x2 = 0 Combine like terms: 18 + 13 = 31 31 + 2 + 2x + -4x + -15x + 2x2 + 3x2 + -1x2 = 0 Combine like terms: 31 + 2 = 33 33 + 2x + -4x + -15x + 2x2 + 3x2 + -1x2 = 0 Combine like terms: 2x + -4x = -2x 33 + -2x + -15x + 2x2 + 3x2 + -1x2 = 0 Combine like terms: -2x + -15x = -17x 33 + -17x + 2x2 + 3x2 + -1x2 = 0 Combine like terms: 2x2 + 3x2 = 5x2 33 + -17x + 5x2 + -1x2 = 0 Combine like terms: 5x2 + -1x2 = 4x2 33 + -17x + 4x2 = 0 Solving 33 + -17x + 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'. 8.25 + -4.25x + x2 = 0 Move the constant term to the right: Add '-8.25' to each side of the equation. 8.25 + -4.25x + -8.25 + x2 = 0 + -8.25 Reorder the terms: 8.25 + -8.25 + -4.25x + x2 = 0 + -8.25 Combine like terms: 8.25 + -8.25 = 0.00 0.00 + -4.25x + x2 = 0 + -8.25 -4.25x + x2 = 0 + -8.25 Combine like terms: 0 + -8.25 = -8.25 -4.25x + x2 = -8.25 The x term is -4.25x. Take half its coefficient (-2.125). Square it (4.515625) and add it to both sides. Add '4.515625' to each side of the equation. -4.25x + 4.515625 + x2 = -8.25 + 4.515625 Reorder the terms: 4.515625 + -4.25x + x2 = -8.25 + 4.515625 Combine like terms: -8.25 + 4.515625 = -3.734375 4.515625 + -4.25x + x2 = -3.734375 Factor a perfect square on the left side: (x + -2.125)(x + -2.125) = -3.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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