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Simplifying
(2x + 7y)(2x + -7y) = 0
Multiply (2x + 7y) * (2x + -7y)
(2x * (2x + -7y) + 7y * (2x + -7y)) = 0
((2x * 2x + -7y * 2x) + 7y * (2x + -7y)) = 0
Reorder the terms:
((-14xy + 4x2) + 7y * (2x + -7y)) = 0
((-14xy + 4x2) + 7y * (2x + -7y)) = 0
(-14xy + 4x2 + (2x * 7y + -7y * 7y)) = 0
(-14xy + 4x2 + (14xy + -49y2)) = 0
Reorder the terms:
(-14xy + 14xy + 4x2 + -49y2) = 0
Combine like terms: -14xy + 14xy = 0
(0 + 4x2 + -49y2) = 0
(4x2 + -49y2) = 0
Solving
4x2 + -49y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49y2' to each side of the equation.
4x2 + -49y2 + 49y2 = 0 + 49y2
Combine like terms: -49y2 + 49y2 = 0
4x2 + 0 = 0 + 49y2
4x2 = 0 + 49y2
Remove the zero:
4x2 = 49y2
Divide each side by '4'.
x2 = 12.25y2
Simplifying
x2 = 12.25y2
Take the square root of each side:
x = {-3.5y, 3.5y}
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