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Simplifying 4x3 + 40x + 100x = 0 Reorder the terms: 40x + 100x + 4x3 = 0 Combine like terms: 40x + 100x = 140x 140x + 4x3 = 0 Solving 140x + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(35 + x2) = 0 Ignore the factor 4.Subproblem 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 + x2)' equal to zero and attempt to solve: Simplifying 35 + x2 = 0 Solving 35 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + x2 = 0 + -35 x2 = 0 + -35 Combine like terms: 0 + -35 = -35 x2 = -35 Simplifying x2 = -35 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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