x^2-13x-90=3528

Solution for x^2-13x-90=3528 equation:

Simplifying
x2 + -13x + -90 = 3528

Reorder the terms:
-90 + -13x + x2 = 3528

Solving
-90 + -13x + x2 = 3528

Solving for variable 'x'.

Reorder the terms:
-90 + -3528 + -13x + x2 = 3528 + -3528

Combine like terms: -90 + -3528 = -3618
-3618 + -13x + x2 = 3528 + -3528

Combine like terms: 3528 + -3528 = 0
-3618 + -13x + x2 = 0

Factor a trinomial.
(-54 + -1x)(67 + -1x) = 0

Subproblem 1
Set the factor '(-54 + -1x)' equal to zero and attempt to solve:

Simplifying
-54 + -1x = 0

Solving
-54 + -1x = 0

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

Add '54' to each side of the equation.
-54 + 54 + -1x = 0 + 54

Combine like terms: -54 + 54 = 0
0 + -1x = 0 + 54
-1x = 0 + 54

Combine like terms: 0 + 54 = 54
-1x = 54

Divide each side by '-1'.
x = -54

Simplifying
x = -54
Subproblem 2
Set the factor '(67 + -1x)' equal to zero and attempt to solve:

Simplifying
67 + -1x = 0

Solving
67 + -1x = 0

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

Add '-67' to each side of the equation.
67 + -67 + -1x = 0 + -67

Combine like terms: 67 + -67 = 0
0 + -1x = 0 + -67
-1x = 0 + -67

Combine like terms: 0 + -67 = -67
-1x = -67

Divide each side by '-1'.
x = 67

Simplifying
x = 67
Solution
x = {-54, 67}