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Simplifying 2x2 + -4x + 102 = 0 Reorder the terms: 102 + -4x + 2x2 = 0 Solving 102 + -4x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(51 + -2x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(51 + -2x + x2)' equal to zero and attempt to solve: Simplifying 51 + -2x + x2 = 0 Solving 51 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-51' to each side of the equation. 51 + -2x + -51 + x2 = 0 + -51 Reorder the terms: 51 + -51 + -2x + x2 = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -2x + x2 = 0 + -51 -2x + x2 = 0 + -51 Combine like terms: 0 + -51 = -51 -2x + x2 = -51 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -51 + 1 Reorder the terms: 1 + -2x + x2 = -51 + 1 Combine like terms: -51 + 1 = -50 1 + -2x + x2 = -50 Factor a perfect square on the left side: (x + -1)(x + -1) = -50 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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