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Simplifying 2x2 + 2x + 124 = 0 Reorder the terms: 124 + 2x + 2x2 = 0 Solving 124 + 2x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(62 + x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(62 + x + x2)' equal to zero and attempt to solve: Simplifying 62 + x + x2 = 0 Solving 62 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-62' to each side of the equation. 62 + x + -62 + x2 = 0 + -62 Reorder the terms: 62 + -62 + x + x2 = 0 + -62 Combine like terms: 62 + -62 = 0 0 + x + x2 = 0 + -62 x + x2 = 0 + -62 Combine like terms: 0 + -62 = -62 x + x2 = -62 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 = -62 + 0.25 Reorder the terms: 0.25 + x + x2 = -62 + 0.25 Combine like terms: -62 + 0.25 = -61.75 0.25 + x + x2 = -61.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -61.75 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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