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Simplifying 2x2 + 42x + 250 = 0 Reorder the terms: 250 + 42x + 2x2 = 0 Solving 250 + 42x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(125 + 21x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(125 + 21x + x2)' equal to zero and attempt to solve: Simplifying 125 + 21x + x2 = 0 Solving 125 + 21x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-125' to each side of the equation. 125 + 21x + -125 + x2 = 0 + -125 Reorder the terms: 125 + -125 + 21x + x2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + 21x + x2 = 0 + -125 21x + x2 = 0 + -125 Combine like terms: 0 + -125 = -125 21x + x2 = -125 The x term is 21x. Take half its coefficient (10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. 21x + 110.25 + x2 = -125 + 110.25 Reorder the terms: 110.25 + 21x + x2 = -125 + 110.25 Combine like terms: -125 + 110.25 = -14.75 110.25 + 21x + x2 = -14.75 Factor a perfect square on the left side: (x + 10.5)(x + 10.5) = -14.75 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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