(x-7)(x-9)=195

Solution for (x-7)(x-9)=195 equation:

Simplifying
(x + -7)(x + -9) = 195

Reorder the terms:
(-7 + x)(x + -9) = 195

Reorder the terms:
(-7 + x)(-9 + x) = 195

Multiply (-7 + x) * (-9 + x)
(-7(-9 + x) + x(-9 + x)) = 195
((-9 * -7 + x * -7) + x(-9 + x)) = 195
((63 + -7x) + x(-9 + x)) = 195
(63 + -7x + (-9 * x + x * x)) = 195
(63 + -7x + (-9x + x2)) = 195

Combine like terms: -7x + -9x = -16x
(63 + -16x + x2) = 195

Solving
63 + -16x + x2 = 195

Solving for variable 'x'.

Reorder the terms:
63 + -195 + -16x + x2 = 195 + -195

Combine like terms: 63 + -195 = -132
-132 + -16x + x2 = 195 + -195

Combine like terms: 195 + -195 = 0
-132 + -16x + x2 = 0

Factor a trinomial.
(-6 + -1x)(22 + -1x) = 0

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {-6, 22}