7x(7x-1)=30

Solution for 7x(7x-1)=30 equation:

Simplifying
7x(7x + -1) = 30

Reorder the terms:
7x(-1 + 7x) = 30
(-1 * 7x + 7x * 7x) = 30
(-7x + 49x2) = 30

Solving
-7x + 49x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + -7x + 49x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -7x + 49x2 = 0

Factor a trinomial.
(-5 + -7x)(6 + -7x) = 0

Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve:

Simplifying
-5 + -7x = 0

Solving
-5 + -7x = 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 + -7x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = 0 + 5
-7x = 0 + 5

Combine like terms: 0 + 5 = 5
-7x = 5

Divide each side by '-7'.
x = -0.7142857143

Simplifying
x = -0.7142857143
Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-0.7142857143, 0.8571428571}