3x(x+2x)=4x^2

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Solution for 3x(x+2x)=4x^2 equation:


Simplifying
3x(x + 2x) = 4x2

Combine like terms: x + 2x = 3x
3x(3x) = 4x2

Remove parenthesis around (3x)
3x * 3x = 4x2

Reorder the terms for easier multiplication:
3 * 3x * x = 4x2

Multiply 3 * 3
9x * x = 4x2

Multiply x * x
9x2 = 4x2

Solving
9x2 = 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
9x2 + -4x2 = 4x2 + -4x2

Combine like terms: 9x2 + -4x2 = 5x2
5x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
5x2 = 0

Divide each side by '5'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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