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Simplifying
49a2 + -4x2 = 0
Solving
49a2 + -4x2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '4x2' to each side of the equation.
49a2 + -4x2 + 4x2 = 0 + 4x2
Combine like terms: -4x2 + 4x2 = 0
49a2 + 0 = 0 + 4x2
49a2 = 0 + 4x2
Remove the zero:
49a2 = 4x2
Divide each side by '49'.
a2 = 0.08163265306x2
Simplifying
a2 = 0.08163265306x2
Take the square root of each side:
a = {-0.285714286x, 0.285714286x}
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