4x(x+3)=9x+16+3x

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Solution for 4x(x+3)=9x+16+3x equation: 


Simplifying
4x(x + 3) = 9x + 16 + 3x

Reorder the terms:
4x(3 + x) = 9x + 16 + 3x
(3 * 4x + x * 4x) = 9x + 16 + 3x
(12x + 4x2) = 9x + 16 + 3x

Reorder the terms:
12x + 4x2 = 16 + 9x + 3x

Combine like terms: 9x + 3x = 12x
12x + 4x2 = 16 + 12x

Add '-12x' to each side of the equation.
12x + -12x + 4x2 = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
0 + 4x2 = 16 + 12x + -12x
4x2 = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
4x2 = 16 + 0
4x2 = 16

Solving
4x2 = 16

Solving for variable 'x'.

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

Divide each side by '4'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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