12r^2+31rs+20s^2=12r^2+16rs+15rs+20s^2

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Solution for 12r^2+31rs+20s^2=12r^2+16rs+15rs+20s^2 equation:


Simplifying
12r2 + 31rs + 20s2 = 12r2 + 16rs + 15rs + 20s2

Reorder the terms:
31rs + 12r2 + 20s2 = 12r2 + 16rs + 15rs + 20s2

Reorder the terms:
31rs + 12r2 + 20s2 = 16rs + 15rs + 12r2 + 20s2

Combine like terms: 16rs + 15rs = 31rs
31rs + 12r2 + 20s2 = 31rs + 12r2 + 20s2

Add '-31rs' to each side of the equation.
31rs + 12r2 + -31rs + 20s2 = 31rs + 12r2 + -31rs + 20s2

Reorder the terms:
31rs + -31rs + 12r2 + 20s2 = 31rs + 12r2 + -31rs + 20s2

Combine like terms: 31rs + -31rs = 0
0 + 12r2 + 20s2 = 31rs + 12r2 + -31rs + 20s2
12r2 + 20s2 = 31rs + 12r2 + -31rs + 20s2

Reorder the terms:
12r2 + 20s2 = 31rs + -31rs + 12r2 + 20s2

Combine like terms: 31rs + -31rs = 0
12r2 + 20s2 = 0 + 12r2 + 20s2
12r2 + 20s2 = 12r2 + 20s2

Add '-12r2' to each side of the equation.
12r2 + -12r2 + 20s2 = 12r2 + -12r2 + 20s2

Combine like terms: 12r2 + -12r2 = 0
0 + 20s2 = 12r2 + -12r2 + 20s2
20s2 = 12r2 + -12r2 + 20s2

Combine like terms: 12r2 + -12r2 = 0
20s2 = 0 + 20s2
20s2 = 20s2

Add '-20s2' to each side of the equation.
20s2 + -20s2 = 20s2 + -20s2

Combine like terms: 20s2 + -20s2 = 0
0 = 20s2 + -20s2

Combine like terms: 20s2 + -20s2 = 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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