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Simplifying
7 = 2r2 + 4 + -3
Reorder the terms:
7 = 4 + -3 + 2r2
Combine like terms: 4 + -3 = 1
7 = 1 + 2r2
Solving
7 = 1 + 2r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-2r2' to each side of the equation.
7 + -2r2 = 1 + 2r2 + -2r2
Combine like terms: 2r2 + -2r2 = 0
7 + -2r2 = 1 + 0
7 + -2r2 = 1
Add '-7' to each side of the equation.
7 + -7 + -2r2 = 1 + -7
Combine like terms: 7 + -7 = 0
0 + -2r2 = 1 + -7
-2r2 = 1 + -7
Combine like terms: 1 + -7 = -6
-2r2 = -6
Divide each side by '-2'.
r2 = 3
Simplifying
r2 = 3
Take the square root of each side:
r = {-1.732050808, 1.732050808}
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