(X+6)(4x-2)=(2x+3)(2x+3)

Simple and best practice solution for (X+6)(4x-2)=(2x+3)(2x+3) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (X+6)(4x-2)=(2x+3)(2x+3) equation: 


Simplifying
(X + 6)(4x + -2) = (2x + 3)(2x + 3)

Reorder the terms:
(6 + X)(4x + -2) = (2x + 3)(2x + 3)

Reorder the terms:
(6 + X)(-2 + 4x) = (2x + 3)(2x + 3)

Multiply (6 + X) * (-2 + 4x)
(6(-2 + 4x) + X(-2 + 4x)) = (2x + 3)(2x + 3)
((-2 * 6 + 4x * 6) + X(-2 + 4x)) = (2x + 3)(2x + 3)
((-12 + 24x) + X(-2 + 4x)) = (2x + 3)(2x + 3)
(-12 + 24x + (-2 * X + 4x * X)) = (2x + 3)(2x + 3)
(-12 + 24x + (-2X + 4xX)) = (2x + 3)(2x + 3)

Reorder the terms:
(-12 + -2X + 24x + 4xX) = (2x + 3)(2x + 3)
(-12 + -2X + 24x + 4xX) = (2x + 3)(2x + 3)

Reorder the terms:
-12 + -2X + 24x + 4xX = (3 + 2x)(2x + 3)

Reorder the terms:
-12 + -2X + 24x + 4xX = (3 + 2x)(3 + 2x)

Multiply (3 + 2x) * (3 + 2x)
-12 + -2X + 24x + 4xX = (3(3 + 2x) + 2x * (3 + 2x))
-12 + -2X + 24x + 4xX = ((3 * 3 + 2x * 3) + 2x * (3 + 2x))
-12 + -2X + 24x + 4xX = ((9 + 6x) + 2x * (3 + 2x))
-12 + -2X + 24x + 4xX = (9 + 6x + (3 * 2x + 2x * 2x))
-12 + -2X + 24x + 4xX = (9 + 6x + (6x + 4x2))

Combine like terms: 6x + 6x = 12x
-12 + -2X + 24x + 4xX = (9 + 12x + 4x2)

Solving
-12 + -2X + 24x + 4xX = 9 + 12x + 4x2

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + -2X + 24x + 12 + 4xX = 9 + 12x + 12 + 4x2

Reorder the terms:
-12 + 12 + -2X + 24x + 4xX = 9 + 12x + 12 + 4x2

Combine like terms: -12 + 12 = 0
0 + -2X + 24x + 4xX = 9 + 12x + 12 + 4x2
-2X + 24x + 4xX = 9 + 12x + 12 + 4x2

Reorder the terms:
-2X + 24x + 4xX = 9 + 12 + 12x + 4x2

Combine like terms: 9 + 12 = 21
-2X + 24x + 4xX = 21 + 12x + 4x2

Add '-24x' to each side of the equation.
-2X + 24x + -24x + 4xX = 21 + 12x + -24x + 4x2

Combine like terms: 24x + -24x = 0
-2X + 0 + 4xX = 21 + 12x + -24x + 4x2
-2X + 4xX = 21 + 12x + -24x + 4x2

Combine like terms: 12x + -24x = -12x
-2X + 4xX = 21 + -12x + 4x2

Reorder the terms:
-21 + -2X + 12x + 4xX + -4x2 = 21 + -12x + 4x2 + -21 + 12x + -4x2

Reorder the terms:
-21 + -2X + 12x + 4xX + -4x2 = 21 + -21 + -12x + 12x + 4x2 + -4x2

Combine like terms: 21 + -21 = 0
-21 + -2X + 12x + 4xX + -4x2 = 0 + -12x + 12x + 4x2 + -4x2
-21 + -2X + 12x + 4xX + -4x2 = -12x + 12x + 4x2 + -4x2

Combine like terms: -12x + 12x = 0
-21 + -2X + 12x + 4xX + -4x2 = 0 + 4x2 + -4x2
-21 + -2X + 12x + 4xX + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-21 + -2X + 12x + 4xX + -4x2 = 0

The solution to this equation could not be determined.

See similar equations:

| 5x+19.36=-20.64 | | (x^2-x)/2=0 | | -5/21-2/7 | | 186-(2/3) | | x^2-(5+6i)x-2+16i=0 | | 15=23-2x+5x-4 | | 4x-3+23-x=44 | | 52x+1+3x-4=71 | | 0.04x^3+x-0.01=0 | | 3x+4+2x-5=32 | | 34=x+43x+4 | | 67=34x-3-8x | | 4b+3a=12 | | 28=2+23x+4 | | 4x-7+3=15 | | 12m+9w=10m+12w | | 610=6q+10 | | 9x-3-x+13=180 | | 3x+5-4=41 | | 3b+b=32 | | 37-(3+7x)=7-2x | | 5+3x-2=23 | | 2+3x+4=29 | | 0=43x-2 | | 480=4x+3y | | 1=32x-3 | | 52x-1=7 | | 10y+1=41 | | 15=2x+4 | | 10y+1=69 | | 68=45x+2 | | 10y-1=69 |

Equations solver categories