6x^2(2x-21)=0

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Solution for 6x^2(2x-21)=0 equation: 


Simplifying
6x2(2x + -21) = 0

Reorder the terms:
6x2(-21 + 2x) = 0
(-21 * 6x2 + 2x * 6x2) = 0
(-126x2 + 12x3) = 0

Solving
-126x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(-21 + 2x) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-21 + 2x)' equal to zero and attempt to solve:

Simplifying
-21 + 2x = 0

Solving
-21 + 2x = 0

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

Add '21' to each side of the equation.
-21 + 21 + 2x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = 0 + 21
2x = 0 + 21

Combine like terms: 0 + 21 = 21
2x = 21

Divide each side by '2'.
x = 10.5

Simplifying
x = 10.5
Solution
x = {0, 10.5}

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