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Simplifying 4x2 + 96x + 9120 = 0 Reorder the terms: 9120 + 96x + 4x2 = 0 Solving 9120 + 96x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(2280 + 24x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2280 + 24x + x2)' equal to zero and attempt to solve: Simplifying 2280 + 24x + x2 = 0 Solving 2280 + 24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2280' to each side of the equation. 2280 + 24x + -2280 + x2 = 0 + -2280 Reorder the terms: 2280 + -2280 + 24x + x2 = 0 + -2280 Combine like terms: 2280 + -2280 = 0 0 + 24x + x2 = 0 + -2280 24x + x2 = 0 + -2280 Combine like terms: 0 + -2280 = -2280 24x + x2 = -2280 The x term is 24x. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24x + 144 + x2 = -2280 + 144 Reorder the terms: 144 + 24x + x2 = -2280 + 144 Combine like terms: -2280 + 144 = -2136 144 + 24x + x2 = -2136 Factor a perfect square on the left side: (x + 12)(x + 12) = -2136 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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