(x-7)(6x-7x-7)=

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

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

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

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

Combine like terms: 6x + -7x = -1x
(-7 + x)(-7 + -1x) = 0

Multiply (-7 + x) * (-7 + -1x)
(-7(-7 + -1x) + x(-7 + -1x)) = 0
((-7 * -7 + -1x * -7) + x(-7 + -1x)) = 0
((49 + 7x) + x(-7 + -1x)) = 0
(49 + 7x + (-7 * x + -1x * x)) = 0
(49 + 7x + (-7x + -1x2)) = 0

Combine like terms: 7x + -7x = 0
(49 + 0 + -1x2) = 0
(49 + -1x2) = 0

Solving
49 + -1x2 = 0

Solving for variable 'x'.

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

Add '-49' to each side of the equation.
49 + -49 + -1x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1x2 = 0 + -49
-1x2 = 0 + -49

Combine like terms: 0 + -49 = -49
-1x2 = -49

Divide each side by '-1'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}