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Simplifying 2x2 + 20x + 82 = 0 Reorder the terms: 82 + 20x + 2x2 = 0 Solving 82 + 20x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(41 + 10x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(41 + 10x + x2)' equal to zero and attempt to solve: Simplifying 41 + 10x + x2 = 0 Solving 41 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + 10x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + 10x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 10x + x2 = 0 + -41 10x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 10x + x2 = -41 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -41 + 25 Reorder the terms: 25 + 10x + x2 = -41 + 25 Combine like terms: -41 + 25 = -16 25 + 10x + x2 = -16 Factor a perfect square on the left side: (x + 5)(x + 5) = -16 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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