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Simplifying 2x2 + 72x + 720 = 0 Reorder the terms: 720 + 72x + 2x2 = 0 Solving 720 + 72x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(360 + 36x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(360 + 36x + x2)' equal to zero and attempt to solve: Simplifying 360 + 36x + x2 = 0 Solving 360 + 36x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-360' to each side of the equation. 360 + 36x + -360 + x2 = 0 + -360 Reorder the terms: 360 + -360 + 36x + x2 = 0 + -360 Combine like terms: 360 + -360 = 0 0 + 36x + x2 = 0 + -360 36x + x2 = 0 + -360 Combine like terms: 0 + -360 = -360 36x + x2 = -360 The x term is 36x. Take half its coefficient (18). Square it (324) and add it to both sides. Add '324' to each side of the equation. 36x + 324 + x2 = -360 + 324 Reorder the terms: 324 + 36x + x2 = -360 + 324 Combine like terms: -360 + 324 = -36 324 + 36x + x2 = -36 Factor a perfect square on the left side: (x + 18)(x + 18) = -36 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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