(2w-1)(2w-1)=4(w-3)(w-3)

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Solution for (2w-1)(2w-1)=4(w-3)(w-3) equation: 


Simplifying
(2w + -1)(2w + -1) = 4(w + -3)(w + -3)

Reorder the terms:
(-1 + 2w)(2w + -1) = 4(w + -3)(w + -3)

Reorder the terms:
(-1 + 2w)(-1 + 2w) = 4(w + -3)(w + -3)

Multiply (-1 + 2w) * (-1 + 2w)
(-1(-1 + 2w) + 2w * (-1 + 2w)) = 4(w + -3)(w + -3)
((-1 * -1 + 2w * -1) + 2w * (-1 + 2w)) = 4(w + -3)(w + -3)
((1 + -2w) + 2w * (-1 + 2w)) = 4(w + -3)(w + -3)
(1 + -2w + (-1 * 2w + 2w * 2w)) = 4(w + -3)(w + -3)
(1 + -2w + (-2w + 4w2)) = 4(w + -3)(w + -3)

Combine like terms: -2w + -2w = -4w
(1 + -4w + 4w2) = 4(w + -3)(w + -3)

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

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

Multiply (-3 + w) * (-3 + w)
1 + -4w + 4w2 = 4(-3(-3 + w) + w(-3 + w))
1 + -4w + 4w2 = 4((-3 * -3 + w * -3) + w(-3 + w))
1 + -4w + 4w2 = 4((9 + -3w) + w(-3 + w))
1 + -4w + 4w2 = 4(9 + -3w + (-3 * w + w * w))
1 + -4w + 4w2 = 4(9 + -3w + (-3w + w2))

Combine like terms: -3w + -3w = -6w
1 + -4w + 4w2 = 4(9 + -6w + w2)
1 + -4w + 4w2 = (9 * 4 + -6w * 4 + w2 * 4)
1 + -4w + 4w2 = (36 + -24w + 4w2)

Add '-4w2' to each side of the equation.
1 + -4w + 4w2 + -4w2 = 36 + -24w + 4w2 + -4w2

Combine like terms: 4w2 + -4w2 = 0
1 + -4w + 0 = 36 + -24w + 4w2 + -4w2
1 + -4w = 36 + -24w + 4w2 + -4w2

Combine like terms: 4w2 + -4w2 = 0
1 + -4w = 36 + -24w + 0
1 + -4w = 36 + -24w

Solving
1 + -4w = 36 + -24w

Solving for variable 'w'.

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

Add '24w' to each side of the equation.
1 + -4w + 24w = 36 + -24w + 24w

Combine like terms: -4w + 24w = 20w
1 + 20w = 36 + -24w + 24w

Combine like terms: -24w + 24w = 0
1 + 20w = 36 + 0
1 + 20w = 36

Add '-1' to each side of the equation.
1 + -1 + 20w = 36 + -1

Combine like terms: 1 + -1 = 0
0 + 20w = 36 + -1
20w = 36 + -1

Combine like terms: 36 + -1 = 35
20w = 35

Divide each side by '20'.
w = 1.75

Simplifying
w = 1.75

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