4r^2-2.5=r^2+4.25

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Solution for 4r^2-2.5=r^2+4.25 equation: 


Simplifying
4r2 + -2.5 = r2 + 4.25

Reorder the terms:
-2.5 + 4r2 = r2 + 4.25

Reorder the terms:
-2.5 + 4r2 = 4.25 + r2

Solving
-2.5 + 4r2 = 4.25 + r2

Solving for variable 'r'.

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

Add '-1r2' to each side of the equation.
-2.5 + 4r2 + -1r2 = 4.25 + r2 + -1r2

Combine like terms: 4r2 + -1r2 = 3r2
-2.5 + 3r2 = 4.25 + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-2.5 + 3r2 = 4.25 + 0
-2.5 + 3r2 = 4.25

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 3r2 = 4.25 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 3r2 = 4.25 + 2.5
3r2 = 4.25 + 2.5

Combine like terms: 4.25 + 2.5 = 6.75
3r2 = 6.75

Divide each side by '3'.
r2 = 2.25

Simplifying
r2 = 2.25

Take the square root of each side:
r = {-1.5, 1.5}

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