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Simplifying 2x2 + 34x + 336 = 0 Reorder the terms: 336 + 34x + 2x2 = 0 Solving 336 + 34x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(168 + 17x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(168 + 17x + x2)' equal to zero and attempt to solve: Simplifying 168 + 17x + x2 = 0 Solving 168 + 17x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-168' to each side of the equation. 168 + 17x + -168 + x2 = 0 + -168 Reorder the terms: 168 + -168 + 17x + x2 = 0 + -168 Combine like terms: 168 + -168 = 0 0 + 17x + x2 = 0 + -168 17x + x2 = 0 + -168 Combine like terms: 0 + -168 = -168 17x + x2 = -168 The x term is 17x. Take half its coefficient (8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. 17x + 72.25 + x2 = -168 + 72.25 Reorder the terms: 72.25 + 17x + x2 = -168 + 72.25 Combine like terms: -168 + 72.25 = -95.75 72.25 + 17x + x2 = -95.75 Factor a perfect square on the left side: (x + 8.5)(x + 8.5) = -95.75 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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