(16-49*X*X)+7*X*X=16

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Solution for (16-49*X*X)+7*X*X=16 equation: 


Simplifying
(16 + -49X * X) + 7X * X = 16

Multiply X * X
(16 + -49X2) + 7X * X = 16

Remove parenthesis around (16 + -49X2)
16 + -49X2 + 7X * X = 16

Multiply X * X
16 + -49X2 + 7X2 = 16

Combine like terms: -49X2 + 7X2 = -42X2
16 + -42X2 = 16

Add '-16' to each side of the equation.
16 + -16 + -42X2 = 16 + -16

Combine like terms: 16 + -16 = 0
0 + -42X2 = 16 + -16
-42X2 = 16 + -16

Combine like terms: 16 + -16 = 0
-42X2 = 0

Solving
-42X2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Divide each side by '-42'.
X2 = 0

Simplifying
X2 = 0

Take the square root of each side:
X = {0}

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