(w+5)(w+2)=(w+5)w+(w+5)*2

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Solution for (w+5)(w+2)=(w+5)w+(w+5)*2 equation:


Simplifying
(w + 5)(w + 2) = (w + 5) * w + (w + 5) * 2

Reorder the terms:
(5 + w)(w + 2) = (w + 5) * w + (w + 5) * 2

Reorder the terms:
(5 + w)(2 + w) = (w + 5) * w + (w + 5) * 2

Multiply (5 + w) * (2 + w)
(5(2 + w) + w(2 + w)) = (w + 5) * w + (w + 5) * 2
((2 * 5 + w * 5) + w(2 + w)) = (w + 5) * w + (w + 5) * 2
((10 + 5w) + w(2 + w)) = (w + 5) * w + (w + 5) * 2
(10 + 5w + (2 * w + w * w)) = (w + 5) * w + (w + 5) * 2
(10 + 5w + (2w + w2)) = (w + 5) * w + (w + 5) * 2

Combine like terms: 5w + 2w = 7w
(10 + 7w + w2) = (w + 5) * w + (w + 5) * 2

Reorder the terms:
10 + 7w + w2 = (5 + w) * w + (w + 5) * 2

Reorder the terms for easier multiplication:
10 + 7w + w2 = w(5 + w) + (w + 5) * 2
10 + 7w + w2 = (5 * w + w * w) + (w + 5) * 2
10 + 7w + w2 = (5w + w2) + (w + 5) * 2

Reorder the terms:
10 + 7w + w2 = 5w + w2 + (5 + w) * 2

Reorder the terms for easier multiplication:
10 + 7w + w2 = 5w + w2 + 2(5 + w)
10 + 7w + w2 = 5w + w2 + (5 * 2 + w * 2)
10 + 7w + w2 = 5w + w2 + (10 + 2w)

Reorder the terms:
10 + 7w + w2 = 10 + 5w + 2w + w2

Combine like terms: 5w + 2w = 7w
10 + 7w + w2 = 10 + 7w + w2

Add '-10' to each side of the equation.
10 + 7w + -10 + w2 = 10 + 7w + -10 + w2

Reorder the terms:
10 + -10 + 7w + w2 = 10 + 7w + -10 + w2

Combine like terms: 10 + -10 = 0
0 + 7w + w2 = 10 + 7w + -10 + w2
7w + w2 = 10 + 7w + -10 + w2

Reorder the terms:
7w + w2 = 10 + -10 + 7w + w2

Combine like terms: 10 + -10 = 0
7w + w2 = 0 + 7w + w2
7w + w2 = 7w + w2

Add '-7w' to each side of the equation.
7w + -7w + w2 = 7w + -7w + w2

Combine like terms: 7w + -7w = 0
0 + w2 = 7w + -7w + w2
w2 = 7w + -7w + w2

Combine like terms: 7w + -7w = 0
w2 = 0 + w2
w2 = w2

Add '-1w2' to each side of the equation.
w2 + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
0 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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