x(x-10)=2279

Solution for x(x-10)=2279 equation:

Simplifying
x(x + -10) = 2279

Reorder the terms:
x(-10 + x) = 2279
(-10 * x + x * x) = 2279
(-10x + x2) = 2279

Solving
-10x + x2 = 2279

Solving for variable 'x'.

Reorder the terms:
-2279 + -10x + x2 = 2279 + -2279

Combine like terms: 2279 + -2279 = 0
-2279 + -10x + x2 = 0

Factor a trinomial.
(-43 + -1x)(53 + -1x) = 0

Subproblem 1
Set the factor '(-43 + -1x)' equal to zero and attempt to solve:

Simplifying
-43 + -1x = 0

Solving
-43 + -1x = 0

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

Add '43' to each side of the equation.
-43 + 43 + -1x = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -1x = 0 + 43
-1x = 0 + 43

Combine like terms: 0 + 43 = 43
-1x = 43

Divide each side by '-1'.
x = -43

Simplifying
x = -43
Subproblem 2
Set the factor '(53 + -1x)' equal to zero and attempt to solve:

Simplifying
53 + -1x = 0

Solving
53 + -1x = 0

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

Add '-53' to each side of the equation.
53 + -53 + -1x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -1x = 0 + -53
-1x = 0 + -53

Combine like terms: 0 + -53 = -53
-1x = -53

Divide each side by '-1'.
x = 53

Simplifying
x = 53
Solution
x = {-43, 53}