3r^2+1=145

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Solution for 3r^2+1=145 equation:


Simplifying
3r2 + 1 = 145

Reorder the terms:
1 + 3r2 = 145

Solving
1 + 3r2 = 145

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + 3r2 = 145 + -1

Combine like terms: 1 + -1 = 0
0 + 3r2 = 145 + -1
3r2 = 145 + -1

Combine like terms: 145 + -1 = 144
3r2 = 144

Divide each side by '3'.
r2 = 48

Simplifying
r2 = 48

Take the square root of each side:
r = {-6.92820323, 6.92820323}

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