(30-2x)(24-2x)=4*x*x

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Solution for (30-2x)(24-2x)=4*x*x equation:


Simplifying
(30 + -2x)(24 + -2x) = 4x * x

Multiply (30 + -2x) * (24 + -2x)
(30(24 + -2x) + -2x * (24 + -2x)) = 4x * x
((24 * 30 + -2x * 30) + -2x * (24 + -2x)) = 4x * x
((720 + -60x) + -2x * (24 + -2x)) = 4x * x
(720 + -60x + (24 * -2x + -2x * -2x)) = 4x * x
(720 + -60x + (-48x + 4x2)) = 4x * x

Combine like terms: -60x + -48x = -108x
(720 + -108x + 4x2) = 4x * x

Multiply x * x
720 + -108x + 4x2 = 4x2

Add '-4x2' to each side of the equation.
720 + -108x + 4x2 + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
720 + -108x + 0 = 4x2 + -4x2
720 + -108x = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
720 + -108x = 0

Solving
720 + -108x = 0

Solving for variable 'x'.

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

Add '-720' to each side of the equation.
720 + -720 + -108x = 0 + -720

Combine like terms: 720 + -720 = 0
0 + -108x = 0 + -720
-108x = 0 + -720

Combine like terms: 0 + -720 = -720
-108x = -720

Divide each side by '-108'.
x = 6.666666667

Simplifying
x = 6.666666667

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