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Simplifying (3x2 + 11x + 20) + (10x2 + -21x + -3) = 0 Reorder the terms: (20 + 11x + 3x2) + (10x2 + -21x + -3) = 0 Remove parenthesis around (20 + 11x + 3x2) 20 + 11x + 3x2 + (10x2 + -21x + -3) = 0 Reorder the terms: 20 + 11x + 3x2 + (-3 + -21x + 10x2) = 0 Remove parenthesis around (-3 + -21x + 10x2) 20 + 11x + 3x2 + -3 + -21x + 10x2 = 0 Reorder the terms: 20 + -3 + 11x + -21x + 3x2 + 10x2 = 0 Combine like terms: 20 + -3 = 17 17 + 11x + -21x + 3x2 + 10x2 = 0 Combine like terms: 11x + -21x = -10x 17 + -10x + 3x2 + 10x2 = 0 Combine like terms: 3x2 + 10x2 = 13x2 17 + -10x + 13x2 = 0 Solving 17 + -10x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1.307692308 + -0.7692307692x + x2 = 0 Move the constant term to the right: Add '-1.307692308' to each side of the equation. 1.307692308 + -0.7692307692x + -1.307692308 + x2 = 0 + -1.307692308 Reorder the terms: 1.307692308 + -1.307692308 + -0.7692307692x + x2 = 0 + -1.307692308 Combine like terms: 1.307692308 + -1.307692308 = 0.000000000 0.000000000 + -0.7692307692x + x2 = 0 + -1.307692308 -0.7692307692x + x2 = 0 + -1.307692308 Combine like terms: 0 + -1.307692308 = -1.307692308 -0.7692307692x + x2 = -1.307692308 The x term is -0.7692307692x. Take half its coefficient (-0.3846153846). Square it (0.1479289941) and add it to both sides. Add '0.1479289941' to each side of the equation. -0.7692307692x + 0.1479289941 + x2 = -1.307692308 + 0.1479289941 Reorder the terms: 0.1479289941 + -0.7692307692x + x2 = -1.307692308 + 0.1479289941 Combine like terms: -1.307692308 + 0.1479289941 = -1.1597633139 0.1479289941 + -0.7692307692x + x2 = -1.1597633139 Factor a perfect square on the left side: (x + -0.3846153846)(x + -0.3846153846) = -1.1597633139 Can't calculate square root of the right side. The solution to this equation could not be determined.
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