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Simplifying
(2a + 7y)(2a + -7y) = 0
Multiply (2a + 7y) * (2a + -7y)
(2a * (2a + -7y) + 7y * (2a + -7y)) = 0
((2a * 2a + -7y * 2a) + 7y * (2a + -7y)) = 0
Reorder the terms:
((-14ay + 4a2) + 7y * (2a + -7y)) = 0
((-14ay + 4a2) + 7y * (2a + -7y)) = 0
(-14ay + 4a2 + (2a * 7y + -7y * 7y)) = 0
(-14ay + 4a2 + (14ay + -49y2)) = 0
Reorder the terms:
(-14ay + 14ay + 4a2 + -49y2) = 0
Combine like terms: -14ay + 14ay = 0
(0 + 4a2 + -49y2) = 0
(4a2 + -49y2) = 0
Solving
4a2 + -49y2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '49y2' to each side of the equation.
4a2 + -49y2 + 49y2 = 0 + 49y2
Combine like terms: -49y2 + 49y2 = 0
4a2 + 0 = 0 + 49y2
4a2 = 0 + 49y2
Remove the zero:
4a2 = 49y2
Divide each side by '4'.
a2 = 12.25y2
Simplifying
a2 = 12.25y2
Take the square root of each side:
a = {-3.5y, 3.5y}
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