w(w-3)=1890

Solution for w(w-3)=1890 equation:

Simplifying
w(w + -3) = 1890

Reorder the terms:
w(-3 + w) = 1890
(-3 * w + w * w) = 1890
(-3w + w2) = 1890

Solving
-3w + w2 = 1890

Solving for variable 'w'.

Reorder the terms:
-1890 + -3w + w2 = 1890 + -1890

Combine like terms: 1890 + -1890 = 0
-1890 + -3w + w2 = 0

Factor a trinomial.
(-42 + -1w)(45 + -1w) = 0

Subproblem 1
Set the factor '(-42 + -1w)' equal to zero and attempt to solve:

Simplifying
-42 + -1w = 0

Solving
-42 + -1w = 0

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

Add '42' to each side of the equation.
-42 + 42 + -1w = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -1w = 0 + 42
-1w = 0 + 42

Combine like terms: 0 + 42 = 42
-1w = 42

Divide each side by '-1'.
w = -42

Simplifying
w = -42
Subproblem 2
Set the factor '(45 + -1w)' equal to zero and attempt to solve:

Simplifying
45 + -1w = 0

Solving
45 + -1w = 0

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

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

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

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

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

Simplifying
w = 45
Solution
w = {-42, 45}