5w^2-12=-8

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Solution for 5w^2-12=-8 equation: 


Simplifying
5w2 + -12 = -8

Reorder the terms:
-12 + 5w2 = -8

Solving
-12 + 5w2 = -8

Solving for variable 'w'.

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

Add '12' to each side of the equation.
-12 + 12 + 5w2 = -8 + 12

Combine like terms: -12 + 12 = 0
0 + 5w2 = -8 + 12
5w2 = -8 + 12

Combine like terms: -8 + 12 = 4
5w2 = 4

Divide each side by '5'.
w2 = 0.8

Simplifying
w2 = 0.8

Take the square root of each side:
w = {-0.894427191, 0.894427191}

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