52x^3-10x-8x=0

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Solution for 52x^3-10x-8x=0 equation: 


Simplifying
52x3 + -10x + -8x = 0

Reorder the terms:
-10x + -8x + 52x3 = 0

Combine like terms: -10x + -8x = -18x
-18x + 52x3 = 0

Solving
-18x + 52x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-9 + 26x2) = 0

Ignore the factor 2.

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 '(-9 + 26x2)' equal to zero and attempt to solve:

Simplifying
-9 + 26x2 = 0

Solving
-9 + 26x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 26x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 26x2 = 0 + 9
26x2 = 0 + 9

Combine like terms: 0 + 9 = 9
26x2 = 9

Divide each side by '26'.
x2 = 0.3461538462

Simplifying
x2 = 0.3461538462

Take the square root of each side:
x = {-0.588348405, 0.588348405}
Solution
x = {0, -0.588348405, 0.588348405}

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