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Simplifying 3x2 + 48x + 216 = 0 Reorder the terms: 216 + 48x + 3x2 = 0 Solving 216 + 48x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(72 + 16x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(72 + 16x + x2)' equal to zero and attempt to solve: Simplifying 72 + 16x + x2 = 0 Solving 72 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-72' to each side of the equation. 72 + 16x + -72 + x2 = 0 + -72 Reorder the terms: 72 + -72 + 16x + x2 = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 16x + x2 = 0 + -72 16x + x2 = 0 + -72 Combine like terms: 0 + -72 = -72 16x + x2 = -72 The x term is 16x. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16x + 64 + x2 = -72 + 64 Reorder the terms: 64 + 16x + x2 = -72 + 64 Combine like terms: -72 + 64 = -8 64 + 16x + x2 = -8 Factor a perfect square on the left side: (x + 8)(x + 8) = -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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