x*x+10x=1575

Solution for x*x+10x=1575 equation:

Simplifying
x * x + 10x = 1575

Multiply x * x
x2 + 10x = 1575

Reorder the terms:
10x + x2 = 1575

Solving
10x + x2 = 1575

Solving for variable 'x'.

Reorder the terms:
-1575 + 10x + x2 = 1575 + -1575

Combine like terms: 1575 + -1575 = 0
-1575 + 10x + x2 = 0

Factor a trinomial.
(-45 + -1x)(35 + -1x) = 0

Subproblem 1
Set the factor '(-45 + -1x)' equal to zero and attempt to solve:

Simplifying
-45 + -1x = 0

Solving
-45 + -1x = 0

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

Add '45' to each side of the equation.
-45 + 45 + -1x = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -1x = 0 + 45
-1x = 0 + 45

Combine like terms: 0 + 45 = 45
-1x = 45

Divide each side by '-1'.
x = -45

Simplifying
x = -45
Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Solution
x = {-45, 35}