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Simplifying 2X2 + -28X + 190 = 0 Reorder the terms: 190 + -28X + 2X2 = 0 Solving 190 + -28X + 2X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(95 + -14X + X2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(95 + -14X + X2)' equal to zero and attempt to solve: Simplifying 95 + -14X + X2 = 0 Solving 95 + -14X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-95' to each side of the equation. 95 + -14X + -95 + X2 = 0 + -95 Reorder the terms: 95 + -95 + -14X + X2 = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -14X + X2 = 0 + -95 -14X + X2 = 0 + -95 Combine like terms: 0 + -95 = -95 -14X + X2 = -95 The X term is -14X. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14X + 49 + X2 = -95 + 49 Reorder the terms: 49 + -14X + X2 = -95 + 49 Combine like terms: -95 + 49 = -46 49 + -14X + X2 = -46 Factor a perfect square on the left side: (X + -7)(X + -7) = -46 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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