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Simplifying (11x2 + 7x + 5) + (9x + 3) = 0 Reorder the terms: (5 + 7x + 11x2) + (9x + 3) = 0 Remove parenthesis around (5 + 7x + 11x2) 5 + 7x + 11x2 + (9x + 3) = 0 Reorder the terms: 5 + 7x + 11x2 + (3 + 9x) = 0 Remove parenthesis around (3 + 9x) 5 + 7x + 11x2 + 3 + 9x = 0 Reorder the terms: 5 + 3 + 7x + 9x + 11x2 = 0 Combine like terms: 5 + 3 = 8 8 + 7x + 9x + 11x2 = 0 Combine like terms: 7x + 9x = 16x 8 + 16x + 11x2 = 0 Solving 8 + 16x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.7272727273 + 1.454545455x + x2 = 0 Move the constant term to the right: Add '-0.7272727273' to each side of the equation. 0.7272727273 + 1.454545455x + -0.7272727273 + x2 = 0 + -0.7272727273 Reorder the terms: 0.7272727273 + -0.7272727273 + 1.454545455x + x2 = 0 + -0.7272727273 Combine like terms: 0.7272727273 + -0.7272727273 = 0.0000000000 0.0000000000 + 1.454545455x + x2 = 0 + -0.7272727273 1.454545455x + x2 = 0 + -0.7272727273 Combine like terms: 0 + -0.7272727273 = -0.7272727273 1.454545455x + x2 = -0.7272727273 The x term is 1.454545455x. Take half its coefficient (0.7272727275). Square it (0.5289256202) and add it to both sides. Add '0.5289256202' to each side of the equation. 1.454545455x + 0.5289256202 + x2 = -0.7272727273 + 0.5289256202 Reorder the terms: 0.5289256202 + 1.454545455x + x2 = -0.7272727273 + 0.5289256202 Combine like terms: -0.7272727273 + 0.5289256202 = -0.1983471071 0.5289256202 + 1.454545455x + x2 = -0.1983471071 Factor a perfect square on the left side: (x + 0.7272727275)(x + 0.7272727275) = -0.1983471071 Can't calculate square root of the right side. The solution to this equation could not be determined.
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