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Simplifying 2x2 + 2x + 842 = 0 Reorder the terms: 842 + 2x + 2x2 = 0 Solving 842 + 2x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(421 + x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(421 + x + x2)' equal to zero and attempt to solve: Simplifying 421 + x + x2 = 0 Solving 421 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-421' to each side of the equation. 421 + x + -421 + x2 = 0 + -421 Reorder the terms: 421 + -421 + x + x2 = 0 + -421 Combine like terms: 421 + -421 = 0 0 + x + x2 = 0 + -421 x + x2 = 0 + -421 Combine like terms: 0 + -421 = -421 x + x2 = -421 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -421 + 0.25 Reorder the terms: 0.25 + x + x2 = -421 + 0.25 Combine like terms: -421 + 0.25 = -420.75 0.25 + x + x2 = -420.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -420.75 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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