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Simplifying 36x2 + 972x + 7452 = 0 Reorder the terms: 7452 + 972x + 36x2 = 0 Solving 7452 + 972x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '36'. 36(207 + 27x + x2) = 0 Ignore the factor 36.Subproblem 1
Set the factor '(207 + 27x + x2)' equal to zero and attempt to solve: Simplifying 207 + 27x + x2 = 0 Solving 207 + 27x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-207' to each side of the equation. 207 + 27x + -207 + x2 = 0 + -207 Reorder the terms: 207 + -207 + 27x + x2 = 0 + -207 Combine like terms: 207 + -207 = 0 0 + 27x + x2 = 0 + -207 27x + x2 = 0 + -207 Combine like terms: 0 + -207 = -207 27x + x2 = -207 The x term is 27x. Take half its coefficient (13.5). Square it (182.25) and add it to both sides. Add '182.25' to each side of the equation. 27x + 182.25 + x2 = -207 + 182.25 Reorder the terms: 182.25 + 27x + x2 = -207 + 182.25 Combine like terms: -207 + 182.25 = -24.75 182.25 + 27x + x2 = -24.75 Factor a perfect square on the left side: (x + 13.5)(x + 13.5) = -24.75 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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