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Simplifying
(1xq + 5)(1xq + -5) = 0
Reorder the terms:
(5 + 1qx)(1xq + -5) = 0
Reorder the terms:
(5 + 1qx)(-5 + 1qx) = 0
Multiply (5 + 1qx) * (-5 + 1qx)
(5(-5 + 1qx) + 1qx * (-5 + 1qx)) = 0
((-5 * 5 + 1qx * 5) + 1qx * (-5 + 1qx)) = 0
((-25 + 5qx) + 1qx * (-5 + 1qx)) = 0
(-25 + 5qx + (-5 * 1qx + 1qx * 1qx)) = 0
(-25 + 5qx + (-5qx + 1q2x2)) = 0
Combine like terms: 5qx + -5qx = 0
(-25 + 0 + 1q2x2) = 0
(-25 + 1q2x2) = 0
Solving
-25 + 1q2x2 = 0
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 1q2x2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 1q2x2 = 0 + 25
1q2x2 = 0 + 25
Combine like terms: 0 + 25 = 25
1q2x2 = 25
Divide each side by '1x2'.
q2 = 25x-2
Simplifying
q2 = 25x-2
Take the square root of each side:
q = {-5x-1, 5x-1}
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