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Simplifying (12x2 + -8x + 7) + (15x2 + 4 + -1) = 0 Reorder the terms: (7 + -8x + 12x2) + (15x2 + 4 + -1) = 0 Remove parenthesis around (7 + -8x + 12x2) 7 + -8x + 12x2 + (15x2 + 4 + -1) = 0 Reorder the terms: 7 + -8x + 12x2 + (4 + -1 + 15x2) = 0 Combine like terms: 4 + -1 = 3 7 + -8x + 12x2 + (3 + 15x2) = 0 Remove parenthesis around (3 + 15x2) 7 + -8x + 12x2 + 3 + 15x2 = 0 Reorder the terms: 7 + 3 + -8x + 12x2 + 15x2 = 0 Combine like terms: 7 + 3 = 10 10 + -8x + 12x2 + 15x2 = 0 Combine like terms: 12x2 + 15x2 = 27x2 10 + -8x + 27x2 = 0 Solving 10 + -8x + 27x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 0.3703703704 + -0.2962962963x + x2 = 0 Move the constant term to the right: Add '-0.3703703704' to each side of the equation. 0.3703703704 + -0.2962962963x + -0.3703703704 + x2 = 0 + -0.3703703704 Reorder the terms: 0.3703703704 + -0.3703703704 + -0.2962962963x + x2 = 0 + -0.3703703704 Combine like terms: 0.3703703704 + -0.3703703704 = 0.0000000000 0.0000000000 + -0.2962962963x + x2 = 0 + -0.3703703704 -0.2962962963x + x2 = 0 + -0.3703703704 Combine like terms: 0 + -0.3703703704 = -0.3703703704 -0.2962962963x + x2 = -0.3703703704 The x term is -0.2962962963x. Take half its coefficient (-0.1481481482). Square it (0.02194787382) and add it to both sides. Add '0.02194787382' to each side of the equation. -0.2962962963x + 0.02194787382 + x2 = -0.3703703704 + 0.02194787382 Reorder the terms: 0.02194787382 + -0.2962962963x + x2 = -0.3703703704 + 0.02194787382 Combine like terms: -0.3703703704 + 0.02194787382 = -0.34842249658 0.02194787382 + -0.2962962963x + x2 = -0.34842249658 Factor a perfect square on the left side: (x + -0.1481481482)(x + -0.1481481482) = -0.34842249658 Can't calculate square root of the right side. The solution to this equation could not be determined.
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