16x^2+144x^2-49=36x^2+9

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Solution for 16x^2+144x^2-49=36x^2+9 equation:


Simplifying
16x2 + 144x2 + -49 = 36x2 + 9

Reorder the terms:
-49 + 16x2 + 144x2 = 36x2 + 9

Combine like terms: 16x2 + 144x2 = 160x2
-49 + 160x2 = 36x2 + 9

Reorder the terms:
-49 + 160x2 = 9 + 36x2

Solving
-49 + 160x2 = 9 + 36x2

Solving for variable 'x'.

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

Add '-36x2' to each side of the equation.
-49 + 160x2 + -36x2 = 9 + 36x2 + -36x2

Combine like terms: 160x2 + -36x2 = 124x2
-49 + 124x2 = 9 + 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
-49 + 124x2 = 9 + 0
-49 + 124x2 = 9

Add '49' to each side of the equation.
-49 + 49 + 124x2 = 9 + 49

Combine like terms: -49 + 49 = 0
0 + 124x2 = 9 + 49
124x2 = 9 + 49

Combine like terms: 9 + 49 = 58
124x2 = 58

Divide each side by '124'.
x2 = 0.4677419355

Simplifying
x2 = 0.4677419355

Take the square root of each side:
x = {-0.683916614, 0.683916614}

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