(4w+8)(2w-3)=

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Solution for (4w+8)(2w-3)= equation: 


Simplifying
(4w + 8)(2w + -3) = 0

Reorder the terms:
(8 + 4w)(2w + -3) = 0

Reorder the terms:
(8 + 4w)(-3 + 2w) = 0

Multiply (8 + 4w) * (-3 + 2w)
(8(-3 + 2w) + 4w * (-3 + 2w)) = 0
((-3 * 8 + 2w * 8) + 4w * (-3 + 2w)) = 0
((-24 + 16w) + 4w * (-3 + 2w)) = 0
(-24 + 16w + (-3 * 4w + 2w * 4w)) = 0
(-24 + 16w + (-12w + 8w2)) = 0

Combine like terms: 16w + -12w = 4w
(-24 + 4w + 8w2) = 0

Solving
-24 + 4w + 8w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + w + 2w2) = 0

Factor a trinomial.
4((-2 + -1w)(3 + -2w)) = 0

Ignore the factor 4.

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

Simplifying
-2 + -1w = 0

Solving
-2 + -1w = 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 + -1w = 0 + 2

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

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

Divide each side by '-1'.
w = -2

Simplifying
w = -2

Subproblem 2
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
Solution
w = {-2, 1.5}

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