(7x+6)(7x+6)=

Solution for (7x+6)(7x+6)= equation:

Simplifying
(7x + 6)(7x + 6) = 0

Reorder the terms:
(6 + 7x)(7x + 6) = 0

Reorder the terms:
(6 + 7x)(6 + 7x) = 0

Multiply (6 + 7x) * (6 + 7x)
(6(6 + 7x) + 7x * (6 + 7x)) = 0
((6 * 6 + 7x * 6) + 7x * (6 + 7x)) = 0
((36 + 42x) + 7x * (6 + 7x)) = 0
(36 + 42x + (6 * 7x + 7x * 7x)) = 0
(36 + 42x + (42x + 49x2)) = 0

Combine like terms: 42x + 42x = 84x
(36 + 84x + 49x2) = 0

Solving
36 + 84x + 49x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
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 = {-0.8571428571, -0.8571428571}