x^2-143x=-4732

Solution for x^2-143x=-4732 equation:

Simplifying
x2 + -143x = -4732

Reorder the terms:
-143x + x2 = -4732

Solving
-143x + x2 = -4732

Solving for variable 'x'.

Reorder the terms:
4732 + -143x + x2 = -4732 + 4732

Combine like terms: -4732 + 4732 = 0
4732 + -143x + x2 = 0

Factor a trinomial.
(52 + -1x)(91 + -1x) = 0

Subproblem 1
Set the factor '(52 + -1x)' equal to zero and attempt to solve:

Simplifying
52 + -1x = 0

Solving
52 + -1x = 0

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

Add '-52' to each side of the equation.
52 + -52 + -1x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -1x = 0 + -52
-1x = 0 + -52

Combine like terms: 0 + -52 = -52
-1x = -52

Divide each side by '-1'.
x = 52

Simplifying
x = 52
Subproblem 2
Set the factor '(91 + -1x)' equal to zero and attempt to solve:

Simplifying
91 + -1x = 0

Solving
91 + -1x = 0

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

Add '-91' to each side of the equation.
91 + -91 + -1x = 0 + -91

Combine like terms: 91 + -91 = 0
0 + -1x = 0 + -91
-1x = 0 + -91

Combine like terms: 0 + -91 = -91
-1x = -91

Divide each side by '-1'.
x = 91

Simplifying
x = 91
Solution
x = {52, 91}