6x^2-9x+3=(2x+1)(3x+3)

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Solution for 6x^2-9x+3=(2x+1)(3x+3) equation: 


Simplifying
6x2 + -9x + 3 = (2x + 1)(3x + 3)

Reorder the terms:
3 + -9x + 6x2 = (2x + 1)(3x + 3)

Reorder the terms:
3 + -9x + 6x2 = (1 + 2x)(3x + 3)

Reorder the terms:
3 + -9x + 6x2 = (1 + 2x)(3 + 3x)

Multiply (1 + 2x) * (3 + 3x)
3 + -9x + 6x2 = (1(3 + 3x) + 2x * (3 + 3x))
3 + -9x + 6x2 = ((3 * 1 + 3x * 1) + 2x * (3 + 3x))
3 + -9x + 6x2 = ((3 + 3x) + 2x * (3 + 3x))
3 + -9x + 6x2 = (3 + 3x + (3 * 2x + 3x * 2x))
3 + -9x + 6x2 = (3 + 3x + (6x + 6x2))

Combine like terms: 3x + 6x = 9x
3 + -9x + 6x2 = (3 + 9x + 6x2)

Add '-3' to each side of the equation.
3 + -9x + -3 + 6x2 = 3 + 9x + -3 + 6x2

Reorder the terms:
3 + -3 + -9x + 6x2 = 3 + 9x + -3 + 6x2

Combine like terms: 3 + -3 = 0
0 + -9x + 6x2 = 3 + 9x + -3 + 6x2
-9x + 6x2 = 3 + 9x + -3 + 6x2

Reorder the terms:
-9x + 6x2 = 3 + -3 + 9x + 6x2

Combine like terms: 3 + -3 = 0
-9x + 6x2 = 0 + 9x + 6x2
-9x + 6x2 = 9x + 6x2

Add '-6x2' to each side of the equation.
-9x + 6x2 + -6x2 = 9x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-9x + 0 = 9x + 6x2 + -6x2
-9x = 9x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-9x = 9x + 0
-9x = 9x

Solving
-9x = 9x

Solving for variable 'x'.

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

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

Combine like terms: -9x + -9x = -18x
-18x = 9x + -9x

Combine like terms: 9x + -9x = 0
-18x = 0

Divide each side by '-18'.
x = 0

Simplifying
x = 0

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