4r^2-7=28

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Solution for 4r^2-7=28 equation:


Simplifying
4r2 + -7 = 28

Reorder the terms:
-7 + 4r2 = 28

Solving
-7 + 4r2 = 28

Solving for variable 'r'.

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

Add '7' to each side of the equation.
-7 + 7 + 4r2 = 28 + 7

Combine like terms: -7 + 7 = 0
0 + 4r2 = 28 + 7
4r2 = 28 + 7

Combine like terms: 28 + 7 = 35
4r2 = 35

Divide each side by '4'.
r2 = 8.75

Simplifying
r2 = 8.75

Take the square root of each side:
r = {-2.958039892, 2.958039892}

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