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Simplifying
(7m + 9n2)(7m + -9n2) = 0
Multiply (7m + 9n2) * (7m + -9n2)
(7m * (7m + -9n2) + 9n2 * (7m + -9n2)) = 0
((7m * 7m + -9n2 * 7m) + 9n2 * (7m + -9n2)) = 0
Reorder the terms:
((-63mn2 + 49m2) + 9n2 * (7m + -9n2)) = 0
((-63mn2 + 49m2) + 9n2 * (7m + -9n2)) = 0
(-63mn2 + 49m2 + (7m * 9n2 + -9n2 * 9n2)) = 0
(-63mn2 + 49m2 + (63mn2 + -81n4)) = 0
Reorder the terms:
(-63mn2 + 63mn2 + 49m2 + -81n4) = 0
Combine like terms: -63mn2 + 63mn2 = 0
(0 + 49m2 + -81n4) = 0
(49m2 + -81n4) = 0
Solving
49m2 + -81n4 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '81n4' to each side of the equation.
49m2 + -81n4 + 81n4 = 0 + 81n4
Combine like terms: -81n4 + 81n4 = 0
49m2 + 0 = 0 + 81n4
49m2 = 0 + 81n4
Remove the zero:
49m2 = 81n4
Divide each side by '49'.
m2 = 1.653061224n4
Simplifying
m2 = 1.653061224n4
Take the square root of each side:
m = {-1.285714286n2, 1.285714286n2}
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