(7w-3)(8w+5)=

Solution for (7w-3)(8w+5)= equation:

Simplifying
(7w + -3)(8w + 5) = 0

Reorder the terms:
(-3 + 7w)(8w + 5) = 0

Reorder the terms:
(-3 + 7w)(5 + 8w) = 0

Multiply (-3 + 7w) * (5 + 8w)
(-3(5 + 8w) + 7w * (5 + 8w)) = 0
((5 * -3 + 8w * -3) + 7w * (5 + 8w)) = 0
((-15 + -24w) + 7w * (5 + 8w)) = 0
(-15 + -24w + (5 * 7w + 8w * 7w)) = 0
(-15 + -24w + (35w + 56w2)) = 0

Combine like terms: -24w + 35w = 11w
(-15 + 11w + 56w2) = 0

Solving
-15 + 11w + 56w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -8w)(3 + -7w) = 0

Subproblem 1
Set the factor '(-5 + -8w)' equal to zero and attempt to solve:

Simplifying
-5 + -8w = 0

Solving
-5 + -8w = 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 + -8w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8w = 0 + 5
-8w = 0 + 5

Combine like terms: 0 + 5 = 5
-8w = 5

Divide each side by '-8'.
w = -0.625

Simplifying
w = -0.625
Subproblem 2
Set the factor '(3 + -7w)' equal to zero and attempt to solve:

Simplifying
3 + -7w = 0

Solving
3 + -7w = 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 + -7w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7w = 0 + -3
-7w = 0 + -3

Combine like terms: 0 + -3 = -3
-7w = -3

Divide each side by '-7'.
w = 0.4285714286

Simplifying
w = 0.4285714286
Solution
w = {-0.625, 0.4285714286}