x(x-15)=3850

Solution for x(x-15)=3850 equation:

Simplifying
x(x + -15) = 3850

Reorder the terms:
x(-15 + x) = 3850
(-15 * x + x * x) = 3850
(-15x + x2) = 3850

Solving
-15x + x2 = 3850

Solving for variable 'x'.

Reorder the terms:
-3850 + -15x + x2 = 3850 + -3850

Combine like terms: 3850 + -3850 = 0
-3850 + -15x + x2 = 0

Factor a trinomial.
(-55 + -1x)(70 + -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 '(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
Solution
x = {-55, 70}