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Simplifying 3x2 + 48x + 201 = 0 Reorder the terms: 201 + 48x + 3x2 = 0 Solving 201 + 48x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(67 + 16x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(67 + 16x + x2)' equal to zero and attempt to solve: Simplifying 67 + 16x + x2 = 0 Solving 67 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-67' to each side of the equation. 67 + 16x + -67 + x2 = 0 + -67 Reorder the terms: 67 + -67 + 16x + x2 = 0 + -67 Combine like terms: 67 + -67 = 0 0 + 16x + x2 = 0 + -67 16x + x2 = 0 + -67 Combine like terms: 0 + -67 = -67 16x + x2 = -67 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 = -67 + 64 Reorder the terms: 64 + 16x + x2 = -67 + 64 Combine like terms: -67 + 64 = -3 64 + 16x + x2 = -3 Factor a perfect square on the left side: (x + 8)(x + 8) = -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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