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Simplifying 2x2 + 16x + 48 = 0 Reorder the terms: 48 + 16x + 2x2 = 0 Solving 48 + 16x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(24 + 8x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(24 + 8x + x2)' equal to zero and attempt to solve: Simplifying 24 + 8x + x2 = 0 Solving 24 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 8x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + 8x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8x + x2 = 0 + -24 8x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 8x + x2 = -24 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -24 + 16 Reorder the terms: 16 + 8x + x2 = -24 + 16 Combine like terms: -24 + 16 = -8 16 + 8x + x2 = -8 Factor a perfect square on the left side: (x + 4)(x + 4) = -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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