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Simplifying 2x2 + 16x + 322 = 0 Reorder the terms: 322 + 16x + 2x2 = 0 Solving 322 + 16x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(161 + 8x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(161 + 8x + x2)' equal to zero and attempt to solve: Simplifying 161 + 8x + x2 = 0 Solving 161 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-161' to each side of the equation. 161 + 8x + -161 + x2 = 0 + -161 Reorder the terms: 161 + -161 + 8x + x2 = 0 + -161 Combine like terms: 161 + -161 = 0 0 + 8x + x2 = 0 + -161 8x + x2 = 0 + -161 Combine like terms: 0 + -161 = -161 8x + x2 = -161 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -161 + 16 Reorder the terms: 16 + 8x + x2 = -161 + 16 Combine like terms: -161 + 16 = -145 16 + 8x + x2 = -145 Factor a perfect square on the left side: (x + 4)(x + 4) = -145 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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