2r^2+12r-5rp-10=0

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Solution for 2r^2+12r-5rp-10=0 equation:


Simplifying
2r2 + 12r + -5rp + -10 = 0

Reorder the terms:
-10 + -5pr + 12r + 2r2 = 0

Solving
-10 + -5pr + 12r + 2r2 = 0

Solving for variable 'p'.

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

Add '10' to each side of the equation.
-10 + -5pr + 12r + 10 + 2r2 = 0 + 10

Reorder the terms:
-10 + 10 + -5pr + 12r + 2r2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -5pr + 12r + 2r2 = 0 + 10
-5pr + 12r + 2r2 = 0 + 10

Combine like terms: 0 + 10 = 10
-5pr + 12r + 2r2 = 10

Add '-12r' to each side of the equation.
-5pr + 12r + -12r + 2r2 = 10 + -12r

Combine like terms: 12r + -12r = 0
-5pr + 0 + 2r2 = 10 + -12r
-5pr + 2r2 = 10 + -12r

Add '-2r2' to each side of the equation.
-5pr + 2r2 + -2r2 = 10 + -12r + -2r2

Combine like terms: 2r2 + -2r2 = 0
-5pr + 0 = 10 + -12r + -2r2
-5pr = 10 + -12r + -2r2

Divide each side by '-5r'.
p = -2r-1 + 2.4 + 0.4r

Simplifying
p = -2r-1 + 2.4 + 0.4r

Reorder the terms:
p = 2.4 + -2r-1 + 0.4r

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