4x-3y(4y+6)=3x

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Solution for 4x-3y(4y+6)=3x equation:


Simplifying
4x + -3y(4y + 6) = 3x

Reorder the terms:
4x + -3y(6 + 4y) = 3x
4x + (6 * -3y + 4y * -3y) = 3x
4x + (-18y + -12y2) = 3x

Solving
4x + -18y + -12y2 = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4x + -18y + -3x + -12y2 = 3x + -3x

Reorder the terms:
4x + -3x + -18y + -12y2 = 3x + -3x

Combine like terms: 4x + -3x = 1x
1x + -18y + -12y2 = 3x + -3x

Combine like terms: 3x + -3x = 0
1x + -18y + -12y2 = 0

Add '18y' to each side of the equation.
1x + -18y + 18y + -12y2 = 0 + 18y

Combine like terms: -18y + 18y = 0
1x + 0 + -12y2 = 0 + 18y
1x + -12y2 = 0 + 18y
Remove the zero:
1x + -12y2 = 18y

Add '12y2' to each side of the equation.
1x + -12y2 + 12y2 = 18y + 12y2

Combine like terms: -12y2 + 12y2 = 0
1x + 0 = 18y + 12y2
1x = 18y + 12y2

Divide each side by '1'.
x = 18y + 12y2

Simplifying
x = 18y + 12y2

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