x^2(7x+11)(7x-11)=0

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Solution for x^2(7x+11)(7x-11)=0 equation: 


Simplifying
x2(7x + 11)(7x + -11) = 0

Reorder the terms:
x2(11 + 7x)(7x + -11) = 0

Reorder the terms:
x2(11 + 7x)(-11 + 7x) = 0

Multiply (11 + 7x) * (-11 + 7x)
x2(11(-11 + 7x) + 7x * (-11 + 7x)) = 0
x2((-11 * 11 + 7x * 11) + 7x * (-11 + 7x)) = 0
x2((-121 + 77x) + 7x * (-11 + 7x)) = 0
x2(-121 + 77x + (-11 * 7x + 7x * 7x)) = 0
x2(-121 + 77x + (-77x + 49x2)) = 0

Combine like terms: 77x + -77x = 0
x2(-121 + 0 + 49x2) = 0
x2(-121 + 49x2) = 0
(-121 * x2 + 49x2 * x2) = 0
(-121x2 + 49x4) = 0

Solving
-121x2 + 49x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-121 + 49x2) = 0

Factor a difference between two squares.
x2((11 + 7x)(-11 + 7x)) = 0


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 '(11 + 7x)' equal to zero and attempt to solve:

Simplifying
11 + 7x = 0

Solving
11 + 7x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 0 + -11
7x = 0 + -11

Combine like terms: 0 + -11 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571

Subproblem 3
Set the factor '(-11 + 7x)' equal to zero and attempt to solve:

Simplifying
-11 + 7x = 0

Solving
-11 + 7x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 7x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 7x = 0 + 11
7x = 0 + 11

Combine like terms: 0 + 11 = 11
7x = 11

Divide each side by '7'.
x = 1.571428571

Simplifying
x = 1.571428571
Solution
x = {0, -1.571428571, 1.571428571}

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