4y^2-8(w+20)-12=0

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Solution for 4y^2-8(w+20)-12=0 equation:


Simplifying
4y2 + -8(w + 20) + -12 = 0

Reorder the terms:
4y2 + -8(20 + w) + -12 = 0
4y2 + (20 * -8 + w * -8) + -12 = 0
4y2 + (-160 + -8w) + -12 = 0

Reorder the terms:
-160 + -12 + -8w + 4y2 = 0

Combine like terms: -160 + -12 = -172
-172 + -8w + 4y2 = 0

Solving
-172 + -8w + 4y2 = 0

Solving for variable 'w'.

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

Add '172' to each side of the equation.
-172 + -8w + 172 + 4y2 = 0 + 172

Reorder the terms:
-172 + 172 + -8w + 4y2 = 0 + 172

Combine like terms: -172 + 172 = 0
0 + -8w + 4y2 = 0 + 172
-8w + 4y2 = 0 + 172

Combine like terms: 0 + 172 = 172
-8w + 4y2 = 172

Add '-4y2' to each side of the equation.
-8w + 4y2 + -4y2 = 172 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-8w + 0 = 172 + -4y2
-8w = 172 + -4y2

Divide each side by '-8'.
w = -21.5 + 0.5y2

Simplifying
w = -21.5 + 0.5y2

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