2z^2-20rs-15s^2=0

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Solution for 2z^2-20rs-15s^2=0 equation:


Simplifying
2z2 + -20rs + -15s2 = 0

Reorder the terms:
-20rs + -15s2 + 2z2 = 0

Solving
-20rs + -15s2 + 2z2 = 0

Solving for variable 'r'.

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

Add '15s2' to each side of the equation.
-20rs + -15s2 + 15s2 + 2z2 = 0 + 15s2

Combine like terms: -15s2 + 15s2 = 0
-20rs + 0 + 2z2 = 0 + 15s2
-20rs + 2z2 = 0 + 15s2
Remove the zero:
-20rs + 2z2 = 15s2

Add '-2z2' to each side of the equation.
-20rs + 2z2 + -2z2 = 15s2 + -2z2

Combine like terms: 2z2 + -2z2 = 0
-20rs + 0 = 15s2 + -2z2
-20rs = 15s2 + -2z2

Divide each side by '-20s'.
r = -0.75s + 0.1s-1z2

Simplifying
r = -0.75s + 0.1s-1z2

Reorder the terms:
r = 0.1s-1z2 + -0.75s

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