=(3s^2r^2+7q)(3s^2r^2-7q)

Solution for =(3s^2r^2+7q)(3s^2r^2-7q) equation:

Simplifying
0 = (3s2r2 + 7q)(3s2r2 + -7q)

Reorder the terms:
0 = (7q + 3r2s2)(3s2r2 + -7q)

Reorder the terms:
0 = (7q + 3r2s2)(-7q + 3r2s2)

Multiply (7q + 3r2s2) * (-7q + 3r2s2)
0 = (7q * (-7q + 3r2s2) + 3r2s2 * (-7q + 3r2s2))
0 = ((-7q * 7q + 3r2s2 * 7q) + 3r2s2 * (-7q + 3r2s2))

Reorder the terms:
0 = ((21qr2s2 + -49q2) + 3r2s2 * (-7q + 3r2s2))
0 = ((21qr2s2 + -49q2) + 3r2s2 * (-7q + 3r2s2))
0 = (21qr2s2 + -49q2 + (-7q * 3r2s2 + 3r2s2 * 3r2s2))
0 = (21qr2s2 + -49q2 + (-21qr2s2 + 9r4s4))

Reorder the terms:
0 = (21qr2s2 + -21qr2s2 + -49q2 + 9r4s4)

Combine like terms: 21qr2s2 + -21qr2s2 = 0
0 = (0 + -49q2 + 9r4s4)
0 = (-49q2 + 9r4s4)

Solving
0 = -49q2 + 9r4s4

Solving for variable 'q'.

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

Add '49q2' to each side of the equation.
0 + 49q2 = -49q2 + 49q2 + 9r4s4
Remove the zero:
49q2 = -49q2 + 49q2 + 9r4s4

Combine like terms: -49q2 + 49q2 = 0
49q2 = 0 + 9r4s4
49q2 = 9r4s4

Divide each side by '49'.
q2 = 0.1836734694r4s4

Simplifying
q2 = 0.1836734694r4s4

Take the square root of each side:
q = {-0.428571429r2s2, 0.428571429r2s2}