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Simplifying 4x2 + 72x + 3948 = 0 Reorder the terms: 3948 + 72x + 4x2 = 0 Solving 3948 + 72x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(987 + 18x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(987 + 18x + x2)' equal to zero and attempt to solve: Simplifying 987 + 18x + x2 = 0 Solving 987 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-987' to each side of the equation. 987 + 18x + -987 + x2 = 0 + -987 Reorder the terms: 987 + -987 + 18x + x2 = 0 + -987 Combine like terms: 987 + -987 = 0 0 + 18x + x2 = 0 + -987 18x + x2 = 0 + -987 Combine like terms: 0 + -987 = -987 18x + x2 = -987 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = -987 + 81 Reorder the terms: 81 + 18x + x2 = -987 + 81 Combine like terms: -987 + 81 = -906 81 + 18x + x2 = -906 Factor a perfect square on the left side: (x + 9)(x + 9) = -906 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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