3w^2-10=5w^2+14

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Solution for 3w^2-10=5w^2+14 equation:


Simplifying
3w2 + -10 = 5w2 + 14

Reorder the terms:
-10 + 3w2 = 5w2 + 14

Reorder the terms:
-10 + 3w2 = 14 + 5w2

Solving
-10 + 3w2 = 14 + 5w2

Solving for variable 'w'.

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

Add '-5w2' to each side of the equation.
-10 + 3w2 + -5w2 = 14 + 5w2 + -5w2

Combine like terms: 3w2 + -5w2 = -2w2
-10 + -2w2 = 14 + 5w2 + -5w2

Combine like terms: 5w2 + -5w2 = 0
-10 + -2w2 = 14 + 0
-10 + -2w2 = 14

Add '10' to each side of the equation.
-10 + 10 + -2w2 = 14 + 10

Combine like terms: -10 + 10 = 0
0 + -2w2 = 14 + 10
-2w2 = 14 + 10

Combine like terms: 14 + 10 = 24
-2w2 = 24

Divide each side by '-2'.
w2 = -12

Simplifying
w2 = -12

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

Combine like terms: -12 + 12 = 0
12 + w2 = 0

The solution to this equation could not be determined.

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