(7x^3)(3x+5)=0

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Solution for (7x^3)(3x+5)=0 equation:


Simplifying
(7x3)(3x + 5) = 0

Remove parenthesis around (7x3)
7x3(3x + 5) = 0

Reorder the terms:
7x3(5 + 3x) = 0
(5 * 7x3 + 3x * 7x3) = 0
(35x3 + 21x4) = 0

Solving
35x3 + 21x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x3'.
7x3(5 + 3x) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667

Solution

x = {-1.666666667}

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