x(x-35)=4950

Solution for x(x-35)=4950 equation:

Simplifying
x(x + -35) = 4950

Reorder the terms:
x(-35 + x) = 4950
(-35 * x + x * x) = 4950
(-35x + x2) = 4950

Solving
-35x + x2 = 4950

Solving for variable 'x'.

Reorder the terms:
-4950 + -35x + x2 = 4950 + -4950

Combine like terms: 4950 + -4950 = 0
-4950 + -35x + x2 = 0

Factor a trinomial.
(-55 + -1x)(90 + -1x) = 0

Subproblem 1
Set the factor '(-55 + -1x)' equal to zero and attempt to solve:

Simplifying
-55 + -1x = 0

Solving
-55 + -1x = 0

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

Add '55' to each side of the equation.
-55 + 55 + -1x = 0 + 55

Combine like terms: -55 + 55 = 0
0 + -1x = 0 + 55
-1x = 0 + 55

Combine like terms: 0 + 55 = 55
-1x = 55

Divide each side by '-1'.
x = -55

Simplifying
x = -55
Subproblem 2
Set the factor '(90 + -1x)' equal to zero and attempt to solve:

Simplifying
90 + -1x = 0

Solving
90 + -1x = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 0 + -90
-1x = 0 + -90

Combine like terms: 0 + -90 = -90
-1x = -90

Divide each side by '-1'.
x = 90

Simplifying
x = 90
Solution
x = {-55, 90}