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Simplifying 2x2 + 96x + 5376 = 0 Reorder the terms: 5376 + 96x + 2x2 = 0 Solving 5376 + 96x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2688 + 48x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2688 + 48x + x2)' equal to zero and attempt to solve: Simplifying 2688 + 48x + x2 = 0 Solving 2688 + 48x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2688' to each side of the equation. 2688 + 48x + -2688 + x2 = 0 + -2688 Reorder the terms: 2688 + -2688 + 48x + x2 = 0 + -2688 Combine like terms: 2688 + -2688 = 0 0 + 48x + x2 = 0 + -2688 48x + x2 = 0 + -2688 Combine like terms: 0 + -2688 = -2688 48x + x2 = -2688 The x term is 48x. Take half its coefficient (24). Square it (576) and add it to both sides. Add '576' to each side of the equation. 48x + 576 + x2 = -2688 + 576 Reorder the terms: 576 + 48x + x2 = -2688 + 576 Combine like terms: -2688 + 576 = -2112 576 + 48x + x2 = -2112 Factor a perfect square on the left side: (x + 24)(x + 24) = -2112 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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