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Simplifying
0 = (7x + 3y)(7x + -3y)
Multiply (7x + 3y) * (7x + -3y)
0 = (7x * (7x + -3y) + 3y * (7x + -3y))
0 = ((7x * 7x + -3y * 7x) + 3y * (7x + -3y))
Reorder the terms:
0 = ((-21xy + 49x2) + 3y * (7x + -3y))
0 = ((-21xy + 49x2) + 3y * (7x + -3y))
0 = (-21xy + 49x2 + (7x * 3y + -3y * 3y))
0 = (-21xy + 49x2 + (21xy + -9y2))
Reorder the terms:
0 = (-21xy + 21xy + 49x2 + -9y2)
Combine like terms: -21xy + 21xy = 0
0 = (0 + 49x2 + -9y2)
0 = (49x2 + -9y2)
Solving
0 = 49x2 + -9y2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-49x2' to each side of the equation.
0 + -49x2 = 49x2 + -49x2 + -9y2
Remove the zero:
-49x2 = 49x2 + -49x2 + -9y2
Combine like terms: 49x2 + -49x2 = 0
-49x2 = 0 + -9y2
-49x2 = -9y2
Divide each side by '-49'.
x2 = 0.1836734694y2
Simplifying
x2 = 0.1836734694y2
Take the square root of each side:
x = {-0.428571429y, 0.428571429y}
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