10r^2+23rs+12s^2=10r^2+8rs+15rs+12s^2

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Solution for 10r^2+23rs+12s^2=10r^2+8rs+15rs+12s^2 equation:


Simplifying
10r2 + 23rs + 12s2 = 10r2 + 8rs + 15rs + 12s2

Reorder the terms:
23rs + 10r2 + 12s2 = 10r2 + 8rs + 15rs + 12s2

Reorder the terms:
23rs + 10r2 + 12s2 = 8rs + 15rs + 10r2 + 12s2

Combine like terms: 8rs + 15rs = 23rs
23rs + 10r2 + 12s2 = 23rs + 10r2 + 12s2

Add '-23rs' to each side of the equation.
23rs + 10r2 + -23rs + 12s2 = 23rs + 10r2 + -23rs + 12s2

Reorder the terms:
23rs + -23rs + 10r2 + 12s2 = 23rs + 10r2 + -23rs + 12s2

Combine like terms: 23rs + -23rs = 0
0 + 10r2 + 12s2 = 23rs + 10r2 + -23rs + 12s2
10r2 + 12s2 = 23rs + 10r2 + -23rs + 12s2

Reorder the terms:
10r2 + 12s2 = 23rs + -23rs + 10r2 + 12s2

Combine like terms: 23rs + -23rs = 0
10r2 + 12s2 = 0 + 10r2 + 12s2
10r2 + 12s2 = 10r2 + 12s2

Add '-10r2' to each side of the equation.
10r2 + -10r2 + 12s2 = 10r2 + -10r2 + 12s2

Combine like terms: 10r2 + -10r2 = 0
0 + 12s2 = 10r2 + -10r2 + 12s2
12s2 = 10r2 + -10r2 + 12s2

Combine like terms: 10r2 + -10r2 = 0
12s2 = 0 + 12s2
12s2 = 12s2

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

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

Combine like terms: 12s2 + -12s2 = 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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