x*x+10x=1739

Solution for x*x+10x=1739 equation:

Simplifying
x * x + 10x = 1739

Multiply x * x
x2 + 10x = 1739

Reorder the terms:
10x + x2 = 1739

Solving
10x + x2 = 1739

Solving for variable 'x'.

Reorder the terms:
-1739 + 10x + x2 = 1739 + -1739

Combine like terms: 1739 + -1739 = 0
-1739 + 10x + x2 = 0

Factor a trinomial.
(-47 + -1x)(37 + -1x) = 0

Subproblem 1
Set the factor '(-47 + -1x)' equal to zero and attempt to solve:

Simplifying
-47 + -1x = 0

Solving
-47 + -1x = 0

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

Add '47' to each side of the equation.
-47 + 47 + -1x = 0 + 47

Combine like terms: -47 + 47 = 0
0 + -1x = 0 + 47
-1x = 0 + 47

Combine like terms: 0 + 47 = 47
-1x = 47

Divide each side by '-1'.
x = -47

Simplifying
x = -47
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 = {-47, 37}