20w^2+100w+40=20(w^2+5w+2)

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Solution for 20w^2+100w+40=20(w^2+5w+2) equation:


Simplifying
20w2 + 100w + 40 = 20(w2 + 5w + 2)

Reorder the terms:
40 + 100w + 20w2 = 20(w2 + 5w + 2)

Reorder the terms:
40 + 100w + 20w2 = 20(2 + 5w + w2)
40 + 100w + 20w2 = (2 * 20 + 5w * 20 + w2 * 20)
40 + 100w + 20w2 = (40 + 100w + 20w2)

Add '-40' to each side of the equation.
40 + 100w + -40 + 20w2 = 40 + 100w + -40 + 20w2

Reorder the terms:
40 + -40 + 100w + 20w2 = 40 + 100w + -40 + 20w2

Combine like terms: 40 + -40 = 0
0 + 100w + 20w2 = 40 + 100w + -40 + 20w2
100w + 20w2 = 40 + 100w + -40 + 20w2

Reorder the terms:
100w + 20w2 = 40 + -40 + 100w + 20w2

Combine like terms: 40 + -40 = 0
100w + 20w2 = 0 + 100w + 20w2
100w + 20w2 = 100w + 20w2

Add '-100w' to each side of the equation.
100w + -100w + 20w2 = 100w + -100w + 20w2

Combine like terms: 100w + -100w = 0
0 + 20w2 = 100w + -100w + 20w2
20w2 = 100w + -100w + 20w2

Combine like terms: 100w + -100w = 0
20w2 = 0 + 20w2
20w2 = 20w2

Add '-20w2' to each side of the equation.
20w2 + -20w2 = 20w2 + -20w2

Combine like terms: 20w2 + -20w2 = 0
0 = 20w2 + -20w2

Combine like terms: 20w2 + -20w2 = 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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