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Simplifying 2x2 + -4x + 3368 = 0 Reorder the terms: 3368 + -4x + 2x2 = 0 Solving 3368 + -4x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1684 + -2x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1684 + -2x + x2)' equal to zero and attempt to solve: Simplifying 1684 + -2x + x2 = 0 Solving 1684 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1684' to each side of the equation. 1684 + -2x + -1684 + x2 = 0 + -1684 Reorder the terms: 1684 + -1684 + -2x + x2 = 0 + -1684 Combine like terms: 1684 + -1684 = 0 0 + -2x + x2 = 0 + -1684 -2x + x2 = 0 + -1684 Combine like terms: 0 + -1684 = -1684 -2x + x2 = -1684 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 = -1684 + 1 Reorder the terms: 1 + -2x + x2 = -1684 + 1 Combine like terms: -1684 + 1 = -1683 1 + -2x + x2 = -1683 Factor a perfect square on the left side: (x + -1)(x + -1) = -1683 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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