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Simplifying
2(8r2 + -3) + 4 = 0
Reorder the terms:
2(-3 + 8r2) + 4 = 0
(-3 * 2 + 8r2 * 2) + 4 = 0
(-6 + 16r2) + 4 = 0
Reorder the terms:
-6 + 4 + 16r2 = 0
Combine like terms: -6 + 4 = -2
-2 + 16r2 = 0
Solving
-2 + 16r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 16r2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 16r2 = 0 + 2
16r2 = 0 + 2
Combine like terms: 0 + 2 = 2
16r2 = 2
Divide each side by '16'.
r2 = 0.125
Simplifying
r2 = 0.125
Take the square root of each side:
r = {-0.353553391, 0.353553391}
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