x(x-3)=1258

Solution for x(x-3)=1258 equation:

Simplifying
x(x + -3) = 1258

Reorder the terms:
x(-3 + x) = 1258
(-3 * x + x * x) = 1258
(-3x + x2) = 1258

Solving
-3x + x2 = 1258

Solving for variable 'x'.

Reorder the terms:
-1258 + -3x + x2 = 1258 + -1258

Combine like terms: 1258 + -1258 = 0
-1258 + -3x + x2 = 0

Factor a trinomial.
(-34 + -1x)(37 + -1x) = 0

Subproblem 1
Set the factor '(-34 + -1x)' equal to zero and attempt to solve:

Simplifying
-34 + -1x = 0

Solving
-34 + -1x = 0

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

Add '34' to each side of the equation.
-34 + 34 + -1x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -1x = 0 + 34
-1x = 0 + 34

Combine like terms: 0 + 34 = 34
-1x = 34

Divide each side by '-1'.
x = -34

Simplifying
x = -34
Subproblem 2
Set the factor '(37 + -1x)' equal to zero and attempt to solve:

Simplifying
37 + -1x = 0

Solving
37 + -1x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -1x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -1x = 0 + -37
-1x = 0 + -37

Combine like terms: 0 + -37 = -37
-1x = -37

Divide each side by '-1'.
x = 37

Simplifying
x = 37
Solution
x = {-34, 37}