(7w+6)(4w-1)=

Solution for (7w+6)(4w-1)= equation:

Simplifying
(7w + 6)(4w + -1) = 0

Reorder the terms:
(6 + 7w)(4w + -1) = 0

Reorder the terms:
(6 + 7w)(-1 + 4w) = 0

Multiply (6 + 7w) * (-1 + 4w)
(6(-1 + 4w) + 7w * (-1 + 4w)) = 0
((-1 * 6 + 4w * 6) + 7w * (-1 + 4w)) = 0
((-6 + 24w) + 7w * (-1 + 4w)) = 0
(-6 + 24w + (-1 * 7w + 4w * 7w)) = 0
(-6 + 24w + (-7w + 28w2)) = 0

Combine like terms: 24w + -7w = 17w
(-6 + 17w + 28w2) = 0

Solving
-6 + 17w + 28w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-6 + -7w)(1 + -4w) = 0

Subproblem 1
Set the factor '(-6 + -7w)' equal to zero and attempt to solve:

Simplifying
-6 + -7w = 0

Solving
-6 + -7w = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7w = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7w = 0 + 6
-7w = 0 + 6

Combine like terms: 0 + 6 = 6
-7w = 6

Divide each side by '-7'.
w = -0.8571428571

Simplifying
w = -0.8571428571
Subproblem 2
Set the factor '(1 + -4w)' equal to zero and attempt to solve:

Simplifying
1 + -4w = 0

Solving
1 + -4w = 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 + -4w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4w = 0 + -1
-4w = 0 + -1

Combine like terms: 0 + -1 = -1
-4w = -1

Divide each side by '-4'.
w = 0.25

Simplifying
w = 0.25
Solution
w = {-0.8571428571, 0.25}