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Simplifying 2x2 + -8x + 26 = 2 Reorder the terms: 26 + -8x + 2x2 = 2 Solving 26 + -8x + 2x2 = 2 Solving for variable 'x'. Reorder the terms: 26 + -2 + -8x + 2x2 = 2 + -2 Combine like terms: 26 + -2 = 24 24 + -8x + 2x2 = 2 + -2 Combine like terms: 2 + -2 = 0 24 + -8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -4x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -4x + x2)' equal to zero and attempt to solve: Simplifying 12 + -4x + x2 = 0 Solving 12 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + -4x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -4x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4x + x2 = 0 + -12 -4x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -4x + x2 = -12 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -12 + 4 Reorder the terms: 4 + -4x + x2 = -12 + 4 Combine like terms: -12 + 4 = -8 4 + -4x + x2 = -8 Factor a perfect square on the left side: (x + -2)(x + -2) = -8 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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