(42-2w)(36-2w)=775

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Solution for (42-2w)(36-2w)=775 equation:


Simplifying
(42 + -2w)(36 + -2w) = 775

Multiply (42 + -2w) * (36 + -2w)
(42(36 + -2w) + -2w * (36 + -2w)) = 775
((36 * 42 + -2w * 42) + -2w * (36 + -2w)) = 775
((1512 + -84w) + -2w * (36 + -2w)) = 775
(1512 + -84w + (36 * -2w + -2w * -2w)) = 775
(1512 + -84w + (-72w + 4w2)) = 775

Combine like terms: -84w + -72w = -156w
(1512 + -156w + 4w2) = 775

Solving
1512 + -156w + 4w2 = 775

Solving for variable 'w'.

Reorder the terms:
1512 + -775 + -156w + 4w2 = 775 + -775

Combine like terms: 1512 + -775 = 737
737 + -156w + 4w2 = 775 + -775

Combine like terms: 775 + -775 = 0
737 + -156w + 4w2 = 0

Factor a trinomial.
(11 + -2w)(67 + -2w) = 0


Subproblem 1
Set the factor '(11 + -2w)' equal to zero and attempt to solve:

Simplifying
11 + -2w = 0

Solving
11 + -2w = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2w = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2w = 0 + -11
-2w = 0 + -11

Combine like terms: 0 + -11 = -11
-2w = -11

Divide each side by '-2'.
w = 5.5

Simplifying
w = 5.5

Subproblem 2
Set the factor '(67 + -2w)' equal to zero and attempt to solve:

Simplifying
67 + -2w = 0

Solving
67 + -2w = 0

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

Add '-67' to each side of the equation.
67 + -67 + -2w = 0 + -67

Combine like terms: 67 + -67 = 0
0 + -2w = 0 + -67
-2w = 0 + -67

Combine like terms: 0 + -67 = -67
-2w = -67

Divide each side by '-2'.
w = 33.5

Simplifying
w = 33.5
Solution
w = {5.5, 33.5}

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