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Simplifying x3 + 6x2 + 55x = 0 Reorder the terms: 55x + 6x2 + x3 = 0 Solving 55x + 6x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(55 + 6x + x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(55 + 6x + x2)' equal to zero and attempt to solve: Simplifying 55 + 6x + x2 = 0 Solving 55 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-55' to each side of the equation. 55 + 6x + -55 + x2 = 0 + -55 Reorder the terms: 55 + -55 + 6x + x2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 6x + x2 = 0 + -55 6x + x2 = 0 + -55 Combine like terms: 0 + -55 = -55 6x + x2 = -55 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -55 + 9 Reorder the terms: 9 + 6x + x2 = -55 + 9 Combine like terms: -55 + 9 = -46 9 + 6x + x2 = -46 Factor a perfect square on the left side: (x + 3)(x + 3) = -46 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.Solution
x = {0}
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