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

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

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

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

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

Multiply (-2 + 5w) * (3 + 2w)
(-2(3 + 2w) + 5w * (3 + 2w)) = 0
((3 * -2 + 2w * -2) + 5w * (3 + 2w)) = 0
((-6 + -4w) + 5w * (3 + 2w)) = 0
(-6 + -4w + (3 * 5w + 2w * 5w)) = 0
(-6 + -4w + (15w + 10w2)) = 0

Combine like terms: -4w + 15w = 11w
(-6 + 11w + 10w2) = 0

Solving
-6 + 11w + 10w2 = 0

Solving for variable 'w'.

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

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

Simplifying
-3 + -2w = 0

Solving
-3 + -2w = 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 + -2w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2w = 0 + 3
-2w = 0 + 3

Combine like terms: 0 + 3 = 3
-2w = 3

Divide each side by '-2'.
w = -1.5

Simplifying
w = -1.5
Subproblem 2
Set the factor '(2 + -5w)' equal to zero and attempt to solve:

Simplifying
2 + -5w = 0

Solving
2 + -5w = 0

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

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

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

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

Divide each side by '-5'.
w = 0.4

Simplifying
w = 0.4
Solution
w = {-1.5, 0.4}