8x^3-15x+6x=0

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Solution for 8x^3-15x+6x=0 equation: 


Simplifying
8x3 + -15x + 6x = 0

Reorder the terms:
-15x + 6x + 8x3 = 0

Combine like terms: -15x + 6x = -9x
-9x + 8x3 = 0

Solving
-9x + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + 8x2) = 0


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 + 8x2)' equal to zero and attempt to solve:

Simplifying
-9 + 8x2 = 0

Solving
-9 + 8x2 = 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 + 8x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 8x2 = 0 + 9
8x2 = 0 + 9

Combine like terms: 0 + 9 = 9
8x2 = 9

Divide each side by '8'.
x2 = 1.125

Simplifying
x2 = 1.125

Take the square root of each side:
x = {-1.060660172, 1.060660172}
Solution
x = {0, -1.060660172, 1.060660172}

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