(40-2w)(28-2w)=805

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Solution for (40-2w)(28-2w)=805 equation:


Simplifying
(40 + -2w)(28 + -2w) = 805

Multiply (40 + -2w) * (28 + -2w)
(40(28 + -2w) + -2w * (28 + -2w)) = 805
((28 * 40 + -2w * 40) + -2w * (28 + -2w)) = 805
((1120 + -80w) + -2w * (28 + -2w)) = 805
(1120 + -80w + (28 * -2w + -2w * -2w)) = 805
(1120 + -80w + (-56w + 4w2)) = 805

Combine like terms: -80w + -56w = -136w
(1120 + -136w + 4w2) = 805

Solving
1120 + -136w + 4w2 = 805

Solving for variable 'w'.

Reorder the terms:
1120 + -805 + -136w + 4w2 = 805 + -805

Combine like terms: 1120 + -805 = 315
315 + -136w + 4w2 = 805 + -805

Combine like terms: 805 + -805 = 0
315 + -136w + 4w2 = 0

Factor a trinomial.
(5 + -2w)(63 + -2w) = 0


Subproblem 1
Set the factor '(5 + -2w)' equal to zero and attempt to solve:

Simplifying
5 + -2w = 0

Solving
5 + -2w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2w = 0 + -5
-2w = 0 + -5

Combine like terms: 0 + -5 = -5
-2w = -5

Divide each side by '-2'.
w = 2.5

Simplifying
w = 2.5

Subproblem 2
Set the factor '(63 + -2w)' equal to zero and attempt to solve:

Simplifying
63 + -2w = 0

Solving
63 + -2w = 0

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

Add '-63' to each side of the equation.
63 + -63 + -2w = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -2w = 0 + -63
-2w = 0 + -63

Combine like terms: 0 + -63 = -63
-2w = -63

Divide each side by '-2'.
w = 31.5

Simplifying
w = 31.5
Solution
w = {2.5, 31.5}

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