0=(121x^2+242x)(-242x-4)

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Solution for 0=(121x^2+242x)(-242x-4) equation: 


Simplifying
0 = (121x2 + 242x)(-242x + -4)

Reorder the terms:
0 = (242x + 121x2)(-242x + -4)

Reorder the terms:
0 = (242x + 121x2)(-4 + -242x)

Multiply (242x + 121x2) * (-4 + -242x)
0 = (242x * (-4 + -242x) + 121x2 * (-4 + -242x))
0 = ((-4 * 242x + -242x * 242x) + 121x2 * (-4 + -242x))
0 = ((-968x + -58564x2) + 121x2 * (-4 + -242x))
0 = (-968x + -58564x2 + (-4 * 121x2 + -242x * 121x2))
0 = (-968x + -58564x2 + (-484x2 + -29282x3))

Combine like terms: -58564x2 + -484x2 = -59048x2
0 = (-968x + -59048x2 + -29282x3)

Solving
0 = -968x + -59048x2 + -29282x3

Solving for variable 'x'.
Remove the zero:
968x + 59048x2 + 29282x3 = -968x + -59048x2 + -29282x3 + 968x + 59048x2 + 29282x3

Reorder the terms:
968x + 59048x2 + 29282x3 = -968x + 968x + -59048x2 + 59048x2 + -29282x3 + 29282x3

Combine like terms: -968x + 968x = 0
968x + 59048x2 + 29282x3 = 0 + -59048x2 + 59048x2 + -29282x3 + 29282x3
968x + 59048x2 + 29282x3 = -59048x2 + 59048x2 + -29282x3 + 29282x3

Combine like terms: -59048x2 + 59048x2 = 0
968x + 59048x2 + 29282x3 = 0 + -29282x3 + 29282x3
968x + 59048x2 + 29282x3 = -29282x3 + 29282x3

Combine like terms: -29282x3 + 29282x3 = 0
968x + 59048x2 + 29282x3 = 0

Factor out the Greatest Common Factor (GCF), '242x'.
242x(4 + 244x + 121x2) = 0

Factor a trinomial.
242x((2 + x)(2 + 121x)) = 0

Ignore the factor 242.

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2

Subproblem 3
Set the factor '(2 + 121x)' equal to zero and attempt to solve:

Simplifying
2 + 121x = 0

Solving
2 + 121x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 121x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 121x = 0 + -2
121x = 0 + -2

Combine like terms: 0 + -2 = -2
121x = -2

Divide each side by '121'.
x = -0.01652892562

Simplifying
x = -0.01652892562
Solution
x = {0, -2, -0.01652892562}

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