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Simplifying x3 + 4x2 + 35x = 0 Reorder the terms: 35x + 4x2 + x3 = 0 Solving 35x + 4x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(35 + 4x + 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 '(35 + 4x + x2)' equal to zero and attempt to solve: Simplifying 35 + 4x + x2 = 0 Solving 35 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + 4x + -35 + x2 = 0 + -35 Reorder the terms: 35 + -35 + 4x + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 4x + x2 = 0 + -35 4x + x2 = 0 + -35 Combine like terms: 0 + -35 = -35 4x + x2 = -35 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -35 + 4 Reorder the terms: 4 + 4x + x2 = -35 + 4 Combine like terms: -35 + 4 = -31 4 + 4x + x2 = -31 Factor a perfect square on the left side: (x + 2)(x + 2) = -31 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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