w^2-19=10-12w^2

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Solution for w^2-19=10-12w^2 equation: 


Simplifying
w2 + -19 = 10 + -12w2

Reorder the terms:
-19 + w2 = 10 + -12w2

Solving
-19 + w2 = 10 + -12w2

Solving for variable 'w'.

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

Add '12w2' to each side of the equation.
-19 + w2 + 12w2 = 10 + -12w2 + 12w2

Combine like terms: w2 + 12w2 = 13w2
-19 + 13w2 = 10 + -12w2 + 12w2

Combine like terms: -12w2 + 12w2 = 0
-19 + 13w2 = 10 + 0
-19 + 13w2 = 10

Add '19' to each side of the equation.
-19 + 19 + 13w2 = 10 + 19

Combine like terms: -19 + 19 = 0
0 + 13w2 = 10 + 19
13w2 = 10 + 19

Combine like terms: 10 + 19 = 29
13w2 = 29

Divide each side by '13'.
w2 = 2.230769231

Simplifying
w2 = 2.230769231

Take the square root of each side:
w = {-1.493575988, 1.493575988}

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