=(2w-5)(7w+3)

Solution for =(2w-5)(7w+3) equation:

Simplifying
0 = (2w + -5)(7w + 3)

Reorder the terms:
0 = (-5 + 2w)(7w + 3)

Reorder the terms:
0 = (-5 + 2w)(3 + 7w)

Multiply (-5 + 2w) * (3 + 7w)
0 = (-5(3 + 7w) + 2w * (3 + 7w))
0 = ((3 * -5 + 7w * -5) + 2w * (3 + 7w))
0 = ((-15 + -35w) + 2w * (3 + 7w))
0 = (-15 + -35w + (3 * 2w + 7w * 2w))
0 = (-15 + -35w + (6w + 14w2))

Combine like terms: -35w + 6w = -29w
0 = (-15 + -29w + 14w2)

Solving
0 = -15 + -29w + 14w2

Solving for variable 'w'.

Combine like terms: 0 + 15 = 15
15 + 29w + -14w2 = -15 + -29w + 14w2 + 15 + 29w + -14w2

Reorder the terms:
15 + 29w + -14w2 = -15 + 15 + -29w + 29w + 14w2 + -14w2

Combine like terms: -15 + 15 = 0
15 + 29w + -14w2 = 0 + -29w + 29w + 14w2 + -14w2
15 + 29w + -14w2 = -29w + 29w + 14w2 + -14w2

Combine like terms: -29w + 29w = 0
15 + 29w + -14w2 = 0 + 14w2 + -14w2
15 + 29w + -14w2 = 14w2 + -14w2

Combine like terms: 14w2 + -14w2 = 0
15 + 29w + -14w2 = 0

Factor a trinomial.
(5 + -2w)(3 + 7w) = 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 + 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 = {2.5, -0.4285714286}