(x-9)(x+77)=

Solution for (x-9)(x+77)= equation:

Simplifying
(x + -9)(x + 77) = 0

Reorder the terms:
(-9 + x)(x + 77) = 0

Reorder the terms:
(-9 + x)(77 + x) = 0

Multiply (-9 + x) * (77 + x)
(-9(77 + x) + x(77 + x)) = 0
((77 * -9 + x * -9) + x(77 + x)) = 0
((-693 + -9x) + x(77 + x)) = 0
(-693 + -9x + (77 * x + x * x)) = 0
(-693 + -9x + (77x + x2)) = 0

Combine like terms: -9x + 77x = 68x
(-693 + 68x + x2) = 0

Solving
-693 + 68x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-77 + -1x)(9 + -1x) = 0

Subproblem 1
Set the factor '(-77 + -1x)' equal to zero and attempt to solve:

Simplifying
-77 + -1x = 0

Solving
-77 + -1x = 0

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

Add '77' to each side of the equation.
-77 + 77 + -1x = 0 + 77

Combine like terms: -77 + 77 = 0
0 + -1x = 0 + 77
-1x = 0 + 77

Combine like terms: 0 + 77 = 77
-1x = 77

Divide each side by '-1'.
x = -77

Simplifying
x = -77
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-77, 9}