8r^2+26rs+15s^2=20rs+6rs+15s^2

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Solution for 8r^2+26rs+15s^2=20rs+6rs+15s^2 equation: 


Simplifying
8r2 + 26rs + 15s2 = 20rs + 6rs + 15s2

Reorder the terms:
26rs + 8r2 + 15s2 = 20rs + 6rs + 15s2

Combine like terms: 20rs + 6rs = 26rs
26rs + 8r2 + 15s2 = 26rs + 15s2

Add '-26rs' to each side of the equation.
26rs + 8r2 + -26rs + 15s2 = 26rs + -26rs + 15s2

Reorder the terms:
26rs + -26rs + 8r2 + 15s2 = 26rs + -26rs + 15s2

Combine like terms: 26rs + -26rs = 0
0 + 8r2 + 15s2 = 26rs + -26rs + 15s2
8r2 + 15s2 = 26rs + -26rs + 15s2

Combine like terms: 26rs + -26rs = 0
8r2 + 15s2 = 0 + 15s2
8r2 + 15s2 = 15s2

Add '-15s2' to each side of the equation.
8r2 + 15s2 + -15s2 = 15s2 + -15s2

Combine like terms: 15s2 + -15s2 = 0
8r2 + 0 = 15s2 + -15s2
8r2 = 15s2 + -15s2

Combine like terms: 15s2 + -15s2 = 0
8r2 = 0

Solving
8r2 = 0

Solving for variable 'r'.

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

Divide each side by '8'.
r2 = 0

Simplifying
r2 = 0

Take the square root of each side:
r = {0}

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