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Simplifying ((16x2) + 56x + 49) + 81 = 0 Reorder the terms: (49 + 56x + (16x2)) + 81 = 0 Remove parenthesis around (49 + 56x + (16x2)) 49 + 56x + (16x2) + 81 = 0 Reorder the terms: 49 + 81 + 56x + (16x2) = 0 Combine like terms: 49 + 81 = 130 130 + 56x + (16x2) = 0 Solving 130 + 56x + (16x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(65 + 28x + (8x2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(65 + 28x + (8x2))' equal to zero and attempt to solve: Simplifying 65 + 28x + (8x2) = 0 Solving 65 + 28x + (8x2) = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 8.125 + 3.5x + x2 = 0 Move the constant term to the right: Add '-8.125' to each side of the equation. 8.125 + 3.5x + -8.125 + x2 = 0 + -8.125 Reorder the terms: 8.125 + -8.125 + 3.5x + x2 = 0 + -8.125 Combine like terms: 8.125 + -8.125 = 0.000 0.000 + 3.5x + x2 = 0 + -8.125 3.5x + x2 = 0 + -8.125 Combine like terms: 0 + -8.125 = -8.125 3.5x + x2 = -8.125 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = -8.125 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = -8.125 + 3.0625 Combine like terms: -8.125 + 3.0625 = -5.0625 3.0625 + 3.5x + x2 = -5.0625 Factor a perfect square on the left side: ((x) + 1.75)((x) + 1.75) = -5.0625 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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