5x^3+30x+45x=0

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Solution for 5x^3+30x+45x=0 equation:


Simplifying
5x3 + 30x + 45x = 0

Reorder the terms:
30x + 45x + 5x3 = 0

Combine like terms: 30x + 45x = 75x
75x + 5x3 = 0

Solving
75x + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(15 + x2) = 0

Ignore the factor 5.

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 = 0

Subproblem 2

Set the factor '(15 + x2)' equal to zero and attempt to solve: Simplifying 15 + x2 = 0 Solving 15 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x2 = 0 + -15 x2 = 0 + -15 Combine like terms: 0 + -15 = -15 x2 = -15 Simplifying x2 = -15 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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