x(x-35)=7350

Solution for x(x-35)=7350 equation:

Simplifying
x(x + -35) = 7350

Reorder the terms:
x(-35 + x) = 7350
(-35 * x + x * x) = 7350
(-35x + x2) = 7350

Solving
-35x + x2 = 7350

Solving for variable 'x'.

Reorder the terms:
-7350 + -35x + x2 = 7350 + -7350

Combine like terms: 7350 + -7350 = 0
-7350 + -35x + x2 = 0

Factor a trinomial.
(-70 + -1x)(105 + -1x) = 0

Subproblem 1
Set the factor '(-70 + -1x)' equal to zero and attempt to solve:

Simplifying
-70 + -1x = 0

Solving
-70 + -1x = 0

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

Add '70' to each side of the equation.
-70 + 70 + -1x = 0 + 70

Combine like terms: -70 + 70 = 0
0 + -1x = 0 + 70
-1x = 0 + 70

Combine like terms: 0 + 70 = 70
-1x = 70

Divide each side by '-1'.
x = -70

Simplifying
x = -70
Subproblem 2
Set the factor '(105 + -1x)' equal to zero and attempt to solve:

Simplifying
105 + -1x = 0

Solving
105 + -1x = 0

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

Add '-105' to each side of the equation.
105 + -105 + -1x = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -1x = 0 + -105
-1x = 0 + -105

Combine like terms: 0 + -105 = -105
-1x = -105

Divide each side by '-1'.
x = 105

Simplifying
x = 105
Solution
x = {-70, 105}