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Simplifying 2x2 + 8x + 44 = 0 Reorder the terms: 44 + 8x + 2x2 = 0 Solving 44 + 8x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(22 + 4x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(22 + 4x + x2)' equal to zero and attempt to solve: Simplifying 22 + 4x + x2 = 0 Solving 22 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + 4x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + 4x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 4x + x2 = 0 + -22 4x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 4x + x2 = -22 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 = -22 + 4 Reorder the terms: 4 + 4x + x2 = -22 + 4 Combine like terms: -22 + 4 = -18 4 + 4x + x2 = -18 Factor a perfect square on the left side: (x + 2)(x + 2) = -18 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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