(w-3)(2w+5)=

Solution for (w-3)(2w+5)= equation:

Simplifying
(w + -3)(2w + 5) = 0

Reorder the terms:
(-3 + w)(2w + 5) = 0

Reorder the terms:
(-3 + w)(5 + 2w) = 0

Multiply (-3 + w) * (5 + 2w)
(-3(5 + 2w) + w(5 + 2w)) = 0
((5 * -3 + 2w * -3) + w(5 + 2w)) = 0
((-15 + -6w) + w(5 + 2w)) = 0
(-15 + -6w + (5 * w + 2w * w)) = 0
(-15 + -6w + (5w + 2w2)) = 0

Combine like terms: -6w + 5w = -1w
(-15 + -1w + 2w2) = 0

Solving
-15 + -1w + 2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -2w)(3 + -1w) = 0

Subproblem 1
Set the factor '(-5 + -2w)' equal to zero and attempt to solve:

Simplifying
-5 + -2w = 0

Solving
-5 + -2w = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2w = 0 + 5

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

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

Divide each side by '-2'.
w = -2.5

Simplifying
w = -2.5
Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-2.5, 3}