4x^3-33x-30x=0

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Solution for 4x^3-33x-30x=0 equation: 


Simplifying
4x3 + -33x + -30x = 0

Reorder the terms:
-33x + -30x + 4x3 = 0

Combine like terms: -33x + -30x = -63x
-63x + 4x3 = 0

Solving
-63x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-63 + 4x2) = 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 '(-63 + 4x2)' equal to zero and attempt to solve:

Simplifying
-63 + 4x2 = 0

Solving
-63 + 4x2 = 0

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

Add '63' to each side of the equation.
-63 + 63 + 4x2 = 0 + 63

Combine like terms: -63 + 63 = 0
0 + 4x2 = 0 + 63
4x2 = 0 + 63

Combine like terms: 0 + 63 = 63
4x2 = 63

Divide each side by '4'.
x2 = 15.75

Simplifying
x2 = 15.75

Take the square root of each side:
x = {-3.968626967, 3.968626967}
Solution
x = {0, -3.968626967, 3.968626967}

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