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Simplifying 16x2 + 352x + 1984 = 0 Reorder the terms: 1984 + 352x + 16x2 = 0 Solving 1984 + 352x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(124 + 22x + x2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(124 + 22x + x2)' equal to zero and attempt to solve: Simplifying 124 + 22x + x2 = 0 Solving 124 + 22x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-124' to each side of the equation. 124 + 22x + -124 + x2 = 0 + -124 Reorder the terms: 124 + -124 + 22x + x2 = 0 + -124 Combine like terms: 124 + -124 = 0 0 + 22x + x2 = 0 + -124 22x + x2 = 0 + -124 Combine like terms: 0 + -124 = -124 22x + x2 = -124 The x term is 22x. Take half its coefficient (11). Square it (121) and add it to both sides. Add '121' to each side of the equation. 22x + 121 + x2 = -124 + 121 Reorder the terms: 121 + 22x + x2 = -124 + 121 Combine like terms: -124 + 121 = -3 121 + 22x + x2 = -3 Factor a perfect square on the left side: (x + 11)(x + 11) = -3 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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