2x(3x+7)(3x-7)=0

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Solution for 2x(3x+7)(3x-7)=0 equation: 


Simplifying
2x(3x + 7)(3x + -7) = 0

Reorder the terms:
2x(7 + 3x)(3x + -7) = 0

Reorder the terms:
2x(7 + 3x)(-7 + 3x) = 0

Multiply (7 + 3x) * (-7 + 3x)
2x(7(-7 + 3x) + 3x * (-7 + 3x)) = 0
2x((-7 * 7 + 3x * 7) + 3x * (-7 + 3x)) = 0
2x((-49 + 21x) + 3x * (-7 + 3x)) = 0
2x(-49 + 21x + (-7 * 3x + 3x * 3x)) = 0
2x(-49 + 21x + (-21x + 9x2)) = 0

Combine like terms: 21x + -21x = 0
2x(-49 + 0 + 9x2) = 0
2x(-49 + 9x2) = 0
(-49 * 2x + 9x2 * 2x) = 0
(-98x + 18x3) = 0

Solving
-98x + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-49 + 9x2) = 0

Factor a difference between two squares.
2x((7 + 3x)(-7 + 3x)) = 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 '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 3
Set the factor '(-7 + 3x)' equal to zero and attempt to solve:

Simplifying
-7 + 3x = 0

Solving
-7 + 3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 0 + 7
3x = 0 + 7

Combine like terms: 0 + 7 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {0, -2.333333333, 2.333333333}

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