0=w(2w-5)-63

Solution for 0=w(2w-5)-63 equation:

Simplifying
0 = w(2w + -5) + -63

Reorder the terms:
0 = w(-5 + 2w) + -63
0 = (-5 * w + 2w * w) + -63
0 = (-5w + 2w2) + -63

Reorder the terms:
0 = -63 + -5w + 2w2

Solving
0 = -63 + -5w + 2w2

Solving for variable 'w'.

Combine like terms: 0 + 63 = 63
63 + 5w + -2w2 = -63 + -5w + 2w2 + 63 + 5w + -2w2

Reorder the terms:
63 + 5w + -2w2 = -63 + 63 + -5w + 5w + 2w2 + -2w2

Combine like terms: -63 + 63 = 0
63 + 5w + -2w2 = 0 + -5w + 5w + 2w2 + -2w2
63 + 5w + -2w2 = -5w + 5w + 2w2 + -2w2

Combine like terms: -5w + 5w = 0
63 + 5w + -2w2 = 0 + 2w2 + -2w2
63 + 5w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
63 + 5w + -2w2 = 0

Factor a trinomial.
(7 + -1w)(9 + 2w) = 0

Subproblem 1
Set the factor '(7 + -1w)' equal to zero and attempt to solve:

Simplifying
7 + -1w = 0

Solving
7 + -1w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7
Subproblem 2
Set the factor '(9 + 2w)' equal to zero and attempt to solve:

Simplifying
9 + 2w = 0

Solving
9 + 2w = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2w = 0 + -9
2w = 0 + -9

Combine like terms: 0 + -9 = -9
2w = -9

Divide each side by '2'.
w = -4.5

Simplifying
w = -4.5
Solution
w = {7, -4.5}