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Simplifying 11x2 + 16x + 72 = 0 Reorder the terms: 72 + 16x + 11x2 = 0 Solving 72 + 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'. 6.545454545 + 1.454545455x + x2 = 0 Move the constant term to the right: Add '-6.545454545' to each side of the equation. 6.545454545 + 1.454545455x + -6.545454545 + x2 = 0 + -6.545454545 Reorder the terms: 6.545454545 + -6.545454545 + 1.454545455x + x2 = 0 + -6.545454545 Combine like terms: 6.545454545 + -6.545454545 = 0.000000000 0.000000000 + 1.454545455x + x2 = 0 + -6.545454545 1.454545455x + x2 = 0 + -6.545454545 Combine like terms: 0 + -6.545454545 = -6.545454545 1.454545455x + x2 = -6.545454545 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 = -6.545454545 + 0.5289256202 Reorder the terms: 0.5289256202 + 1.454545455x + x2 = -6.545454545 + 0.5289256202 Combine like terms: -6.545454545 + 0.5289256202 = -6.0165289248 0.5289256202 + 1.454545455x + x2 = -6.0165289248 Factor a perfect square on the left side: (x + 0.7272727275)(x + 0.7272727275) = -6.0165289248 Can't calculate square root of the right side. The solution to this equation could not be determined.
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