5r^2-45-90=-5r^2

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Solution for 5r^2-45-90=-5r^2 equation: 


Simplifying
5r2 + -45 + -90 = -5r2

Reorder the terms:
-45 + -90 + 5r2 = -5r2

Combine like terms: -45 + -90 = -135
-135 + 5r2 = -5r2

Solving
-135 + 5r2 = -5r2

Solving for variable 'r'.

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

Add '5r2' to each side of the equation.
-135 + 5r2 + 5r2 = -5r2 + 5r2

Combine like terms: 5r2 + 5r2 = 10r2
-135 + 10r2 = -5r2 + 5r2

Combine like terms: -5r2 + 5r2 = 0
-135 + 10r2 = 0

Add '135' to each side of the equation.
-135 + 135 + 10r2 = 0 + 135

Combine like terms: -135 + 135 = 0
0 + 10r2 = 0 + 135
10r2 = 0 + 135

Combine like terms: 0 + 135 = 135
10r2 = 135

Divide each side by '10'.
r2 = 13.5

Simplifying
r2 = 13.5

Take the square root of each side:
r = {-3.674234614, 3.674234614}

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