(24-2w)(32-2w)=425

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Solution for (24-2w)(32-2w)=425 equation: 


Simplifying
(24 + -2w)(32 + -2w) = 425

Multiply (24 + -2w) * (32 + -2w)
(24(32 + -2w) + -2w * (32 + -2w)) = 425
((32 * 24 + -2w * 24) + -2w * (32 + -2w)) = 425
((768 + -48w) + -2w * (32 + -2w)) = 425
(768 + -48w + (32 * -2w + -2w * -2w)) = 425
(768 + -48w + (-64w + 4w2)) = 425

Combine like terms: -48w + -64w = -112w
(768 + -112w + 4w2) = 425

Solving
768 + -112w + 4w2 = 425

Solving for variable 'w'.

Reorder the terms:
768 + -425 + -112w + 4w2 = 425 + -425

Combine like terms: 768 + -425 = 343
343 + -112w + 4w2 = 425 + -425

Combine like terms: 425 + -425 = 0
343 + -112w + 4w2 = 0

Factor a trinomial.
(7 + -2w)(49 + -2w) = 0


Subproblem 1
Set the factor '(7 + -2w)' equal to zero and attempt to solve:

Simplifying
7 + -2w = 0

Solving
7 + -2w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2w = 0 + -7
-2w = 0 + -7

Combine like terms: 0 + -7 = -7
-2w = -7

Divide each side by '-2'.
w = 3.5

Simplifying
w = 3.5

Subproblem 2
Set the factor '(49 + -2w)' equal to zero and attempt to solve:

Simplifying
49 + -2w = 0

Solving
49 + -2w = 0

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

Add '-49' to each side of the equation.
49 + -49 + -2w = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -2w = 0 + -49
-2w = 0 + -49

Combine like terms: 0 + -49 = -49
-2w = -49

Divide each side by '-2'.
w = 24.5

Simplifying
w = 24.5
Solution
w = {3.5, 24.5}

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