13r^2-28=4r^2-12

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Solution for 13r^2-28=4r^2-12 equation:


Simplifying
13r2 + -28 = 4r2 + -12

Reorder the terms:
-28 + 13r2 = 4r2 + -12

Reorder the terms:
-28 + 13r2 = -12 + 4r2

Solving
-28 + 13r2 = -12 + 4r2

Solving for variable 'r'.

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

Add '-4r2' to each side of the equation.
-28 + 13r2 + -4r2 = -12 + 4r2 + -4r2

Combine like terms: 13r2 + -4r2 = 9r2
-28 + 9r2 = -12 + 4r2 + -4r2

Combine like terms: 4r2 + -4r2 = 0
-28 + 9r2 = -12 + 0
-28 + 9r2 = -12

Add '28' to each side of the equation.
-28 + 28 + 9r2 = -12 + 28

Combine like terms: -28 + 28 = 0
0 + 9r2 = -12 + 28
9r2 = -12 + 28

Combine like terms: -12 + 28 = 16
9r2 = 16

Divide each side by '9'.
r2 = 1.777777778

Simplifying
r2 = 1.777777778

Take the square root of each side:
r = {-1.333333333, 1.333333333}

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