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Simplifying 3x2 + 42x + 441 = 0 Reorder the terms: 441 + 42x + 3x2 = 0 Solving 441 + 42x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(147 + 14x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(147 + 14x + x2)' equal to zero and attempt to solve: Simplifying 147 + 14x + x2 = 0 Solving 147 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-147' to each side of the equation. 147 + 14x + -147 + x2 = 0 + -147 Reorder the terms: 147 + -147 + 14x + x2 = 0 + -147 Combine like terms: 147 + -147 = 0 0 + 14x + x2 = 0 + -147 14x + x2 = 0 + -147 Combine like terms: 0 + -147 = -147 14x + x2 = -147 The x term is 14x. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14x + 49 + x2 = -147 + 49 Reorder the terms: 49 + 14x + x2 = -147 + 49 Combine like terms: -147 + 49 = -98 49 + 14x + x2 = -98 Factor a perfect square on the left side: (x + 7)(x + 7) = -98 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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