121=(x+6)*(20-4x)

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Solution for 121=(x+6)*(20-4x) equation: 


Simplifying
121 = (x + 6)(20 + -4x)

Reorder the terms:
121 = (6 + x)(20 + -4x)

Multiply (6 + x) * (20 + -4x)
121 = (6(20 + -4x) + x(20 + -4x))
121 = ((20 * 6 + -4x * 6) + x(20 + -4x))
121 = ((120 + -24x) + x(20 + -4x))
121 = (120 + -24x + (20 * x + -4x * x))
121 = (120 + -24x + (20x + -4x2))

Combine like terms: -24x + 20x = -4x
121 = (120 + -4x + -4x2)

Solving
121 = 120 + -4x + -4x2

Solving for variable 'x'.

Combine like terms: 121 + -120 = 1
1 + 4x + 4x2 = 120 + -4x + -4x2 + -120 + 4x + 4x2

Reorder the terms:
1 + 4x + 4x2 = 120 + -120 + -4x + 4x + -4x2 + 4x2

Combine like terms: 120 + -120 = 0
1 + 4x + 4x2 = 0 + -4x + 4x + -4x2 + 4x2
1 + 4x + 4x2 = -4x + 4x + -4x2 + 4x2

Combine like terms: -4x + 4x = 0
1 + 4x + 4x2 = 0 + -4x2 + 4x2
1 + 4x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
1 + 4x + 4x2 = 0

Factor a trinomial.
(1 + 2x)(1 + 2x) = 0


Subproblem 1
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-0.5, -0.5}

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