(4w+3)(5w-8)=0

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Solution for (4w+3)(5w-8)=0 equation: 


Simplifying
(4w + 3)(5w + -8) = 0

Reorder the terms:
(3 + 4w)(5w + -8) = 0

Reorder the terms:
(3 + 4w)(-8 + 5w) = 0

Multiply (3 + 4w) * (-8 + 5w)
(3(-8 + 5w) + 4w * (-8 + 5w)) = 0
((-8 * 3 + 5w * 3) + 4w * (-8 + 5w)) = 0
((-24 + 15w) + 4w * (-8 + 5w)) = 0
(-24 + 15w + (-8 * 4w + 5w * 4w)) = 0
(-24 + 15w + (-32w + 20w2)) = 0

Combine like terms: 15w + -32w = -17w
(-24 + -17w + 20w2) = 0

Solving
-24 + -17w + 20w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + -4w)(8 + -5w) = 0


Subproblem 1
Set the factor '(-3 + -4w)' equal to zero and attempt to solve:

Simplifying
-3 + -4w = 0

Solving
-3 + -4w = 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 + -4w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4w = 0 + 3
-4w = 0 + 3

Combine like terms: 0 + 3 = 3
-4w = 3

Divide each side by '-4'.
w = -0.75

Simplifying
w = -0.75

Subproblem 2
Set the factor '(8 + -5w)' equal to zero and attempt to solve:

Simplifying
8 + -5w = 0

Solving
8 + -5w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5w = 0 + -8

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

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

Divide each side by '-5'.
w = 1.6

Simplifying
w = 1.6
Solution
w = {-0.75, 1.6}

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