x(63x+1)=20

Solution for x(63x+1)=20 equation:

Simplifying
x(63x + 1) = 20

Reorder the terms:
x(1 + 63x) = 20
(1 * x + 63x * x) = 20
(1x + 63x2) = 20

Solving
1x + 63x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 1x + 63x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 1x + 63x2 = 0

Factor a trinomial.
(-4 + -7x)(5 + -9x) = 0

Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve:

Simplifying
-4 + -7x = 0

Solving
-4 + -7x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -7x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 0 + 4
-7x = 0 + 4

Combine like terms: 0 + 4 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve:

Simplifying
5 + -9x = 0

Solving
5 + -9x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = 0 + -5
-9x = 0 + -5

Combine like terms: 0 + -5 = -5
-9x = -5

Divide each side by '-9'.
x = 0.5555555556

Simplifying
x = 0.5555555556
Solution
x = {-0.5714285714, 0.5555555556}