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Simplifying
(xr + 8)(xr + -8) = 0
Reorder the terms:
(8 + rx)(xr + -8) = 0
Reorder the terms:
(8 + rx)(-8 + rx) = 0
Multiply (8 + rx) * (-8 + rx)
(8(-8 + rx) + rx(-8 + rx)) = 0
((-8 * 8 + rx * 8) + rx(-8 + rx)) = 0
((-64 + 8rx) + rx(-8 + rx)) = 0
(-64 + 8rx + (-8 * rx + rx * rx)) = 0
(-64 + 8rx + (-8rx + r2x2)) = 0
Combine like terms: 8rx + -8rx = 0
(-64 + 0 + r2x2) = 0
(-64 + r2x2) = 0
Solving
-64 + r2x2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '64' to each side of the equation.
-64 + 64 + r2x2 = 0 + 64
Combine like terms: -64 + 64 = 0
0 + r2x2 = 0 + 64
r2x2 = 0 + 64
Combine like terms: 0 + 64 = 64
r2x2 = 64
Divide each side by 'x2'.
r2 = 64x-2
Simplifying
r2 = 64x-2
Take the square root of each side:
r = {-8x-1, 8x-1}
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