20r^2+15=5795

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Solution for 20r^2+15=5795 equation:


Simplifying
20r2 + 15 = 5795

Reorder the terms:
15 + 20r2 = 5795

Solving
15 + 20r2 = 5795

Solving for variable 'r'.

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

Add '-15' to each side of the equation.
15 + -15 + 20r2 = 5795 + -15

Combine like terms: 15 + -15 = 0
0 + 20r2 = 5795 + -15
20r2 = 5795 + -15

Combine like terms: 5795 + -15 = 5780
20r2 = 5780

Divide each side by '20'.
r2 = 289

Simplifying
r2 = 289

Take the square root of each side:
r = {-17, 17}

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