5r^2-10=-2r^2+25

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Solution for 5r^2-10=-2r^2+25 equation: 


Simplifying
5r2 + -10 = -2r2 + 25

Reorder the terms:
-10 + 5r2 = -2r2 + 25

Reorder the terms:
-10 + 5r2 = 25 + -2r2

Solving
-10 + 5r2 = 25 + -2r2

Solving for variable 'r'.

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

Add '2r2' to each side of the equation.
-10 + 5r2 + 2r2 = 25 + -2r2 + 2r2

Combine like terms: 5r2 + 2r2 = 7r2
-10 + 7r2 = 25 + -2r2 + 2r2

Combine like terms: -2r2 + 2r2 = 0
-10 + 7r2 = 25 + 0
-10 + 7r2 = 25

Add '10' to each side of the equation.
-10 + 10 + 7r2 = 25 + 10

Combine like terms: -10 + 10 = 0
0 + 7r2 = 25 + 10
7r2 = 25 + 10

Combine like terms: 25 + 10 = 35
7r2 = 35

Divide each side by '7'.
r2 = 5

Simplifying
r2 = 5

Take the square root of each side:
r = {-2.236067978, 2.236067978}

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