(4w+2)(7w-3)=

Solution for (4w+2)(7w-3)= equation:

Simplifying
(4w + 2)(7w + -3) = 0

Reorder the terms:
(2 + 4w)(7w + -3) = 0

Reorder the terms:
(2 + 4w)(-3 + 7w) = 0

Multiply (2 + 4w) * (-3 + 7w)
(2(-3 + 7w) + 4w * (-3 + 7w)) = 0
((-3 * 2 + 7w * 2) + 4w * (-3 + 7w)) = 0
((-6 + 14w) + 4w * (-3 + 7w)) = 0
(-6 + 14w + (-3 * 4w + 7w * 4w)) = 0
(-6 + 14w + (-12w + 28w2)) = 0

Combine like terms: 14w + -12w = 2w
(-6 + 2w + 28w2) = 0

Solving
-6 + 2w + 28w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + w + 14w2) = 0

Factor a trinomial.
2((-1 + -2w)(3 + -7w)) = 0

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

Simplifying
-1 + -2w = 0

Solving
-1 + -2w = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2w = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2w = 0 + 1
-2w = 0 + 1

Combine like terms: 0 + 1 = 1
-2w = 1

Divide each side by '-2'.
w = -0.5

Simplifying
w = -0.5
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 = {-0.5, 0.4285714286}