(6x-11w^2)-(4+7w^2)=0

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Solution for (6x-11w^2)-(4+7w^2)=0 equation: 


Simplifying
(6x + -11w2) + -1(4 + 7w2) = 0

Reorder the terms:
(-11w2 + 6x) + -1(4 + 7w2) = 0

Remove parenthesis around (-11w2 + 6x)
-11w2 + 6x + -1(4 + 7w2) = 0
-11w2 + 6x + (4 * -1 + 7w2 * -1) = 0
-11w2 + 6x + (-4 + -7w2) = 0

Reorder the terms:
-4 + -11w2 + -7w2 + 6x = 0

Combine like terms: -11w2 + -7w2 = -18w2
-4 + -18w2 + 6x = 0

Solving
-4 + -18w2 + 6x = 0

Solving for variable 'w'.

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

Add '4' to each side of the equation.
-4 + -18w2 + 4 + 6x = 0 + 4

Reorder the terms:
-4 + 4 + -18w2 + 6x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -18w2 + 6x = 0 + 4
-18w2 + 6x = 0 + 4

Combine like terms: 0 + 4 = 4
-18w2 + 6x = 4

Add '-6x' to each side of the equation.
-18w2 + 6x + -6x = 4 + -6x

Combine like terms: 6x + -6x = 0
-18w2 + 0 = 4 + -6x
-18w2 = 4 + -6x

Divide each side by '-18'.
w2 = -0.2222222222 + 0.3333333333x

Simplifying
w2 = -0.2222222222 + 0.3333333333x

Reorder the terms:
0.2222222222 + w2 + -0.3333333333x = -0.2222222222 + 0.3333333333x + 0.2222222222 + -0.3333333333x

Reorder the terms:
0.2222222222 + w2 + -0.3333333333x = -0.2222222222 + 0.2222222222 + 0.3333333333x + -0.3333333333x

Combine like terms: -0.2222222222 + 0.2222222222 = 0.0000000000
0.2222222222 + w2 + -0.3333333333x = 0.0000000000 + 0.3333333333x + -0.3333333333x
0.2222222222 + w2 + -0.3333333333x = 0.3333333333x + -0.3333333333x

Combine like terms: 0.3333333333x + -0.3333333333x = 0.0000000000
0.2222222222 + w2 + -0.3333333333x = 0.0000000000

The solution to this equation could not be determined.

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