4w(4w-3)=1-12w

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Solution for 4w(4w-3)=1-12w equation: 


Simplifying
4w(4w + -3) = 1 + -12w

Reorder the terms:
4w(-3 + 4w) = 1 + -12w
(-3 * 4w + 4w * 4w) = 1 + -12w
(-12w + 16w2) = 1 + -12w

Add '12w' to each side of the equation.
-12w + 12w + 16w2 = 1 + -12w + 12w

Combine like terms: -12w + 12w = 0
0 + 16w2 = 1 + -12w + 12w
16w2 = 1 + -12w + 12w

Combine like terms: -12w + 12w = 0
16w2 = 1 + 0
16w2 = 1

Solving
16w2 = 1

Solving for variable 'w'.

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

Divide each side by '16'.
w2 = 0.0625

Simplifying
w2 = 0.0625

Take the square root of each side:
w = {-0.25, 0.25}

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