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Simplifying
0 = (7x + 3y + -4x)(9x + -6x + -3y)
Reorder the terms:
0 = (7x + -4x + 3y)(9x + -6x + -3y)
Combine like terms: 7x + -4x = 3x
0 = (3x + 3y)(9x + -6x + -3y)
Combine like terms: 9x + -6x = 3x
0 = (3x + 3y)(3x + -3y)
Multiply (3x + 3y) * (3x + -3y)
0 = (3x * (3x + -3y) + 3y * (3x + -3y))
0 = ((3x * 3x + -3y * 3x) + 3y * (3x + -3y))
Reorder the terms:
0 = ((-9xy + 9x2) + 3y * (3x + -3y))
0 = ((-9xy + 9x2) + 3y * (3x + -3y))
0 = (-9xy + 9x2 + (3x * 3y + -3y * 3y))
0 = (-9xy + 9x2 + (9xy + -9y2))
Reorder the terms:
0 = (-9xy + 9xy + 9x2 + -9y2)
Combine like terms: -9xy + 9xy = 0
0 = (0 + 9x2 + -9y2)
0 = (9x2 + -9y2)
Solving
0 = 9x2 + -9y2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
0 + -9x2 = 9x2 + -9x2 + -9y2
Remove the zero:
-9x2 = 9x2 + -9x2 + -9y2
Combine like terms: 9x2 + -9x2 = 0
-9x2 = 0 + -9y2
-9x2 = -9y2
Divide each side by '-9'.
x2 = y2
Simplifying
x2 = y2
Take the square root of each side:
x = {-1y, y}
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