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Simplifying 2x2 + 26x + 190 = 0 Reorder the terms: 190 + 26x + 2x2 = 0 Solving 190 + 26x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(95 + 13x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(95 + 13x + x2)' equal to zero and attempt to solve: Simplifying 95 + 13x + x2 = 0 Solving 95 + 13x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-95' to each side of the equation. 95 + 13x + -95 + x2 = 0 + -95 Reorder the terms: 95 + -95 + 13x + x2 = 0 + -95 Combine like terms: 95 + -95 = 0 0 + 13x + x2 = 0 + -95 13x + x2 = 0 + -95 Combine like terms: 0 + -95 = -95 13x + x2 = -95 The x term is 13x. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13x + 42.25 + x2 = -95 + 42.25 Reorder the terms: 42.25 + 13x + x2 = -95 + 42.25 Combine like terms: -95 + 42.25 = -52.75 42.25 + 13x + x2 = -52.75 Factor a perfect square on the left side: (x + 6.5)(x + 6.5) = -52.75 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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