(3x-2)(2x-3)-(2x-1)(x-2)=4x^2-12x+9-6x

Simple and best practice solution for (3x-2)(2x-3)-(2x-1)(x-2)=4x^2-12x+9-6x 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 (3x-2)(2x-3)-(2x-1)(x-2)=4x^2-12x+9-6x equation:


Simplifying
(3x + -2)(2x + -3) + -1(2x + -1)(x + -2) = 4x2 + -12x + 9 + -6x

Reorder the terms:
(-2 + 3x)(2x + -3) + -1(2x + -1)(x + -2) = 4x2 + -12x + 9 + -6x

Reorder the terms:
(-2 + 3x)(-3 + 2x) + -1(2x + -1)(x + -2) = 4x2 + -12x + 9 + -6x

Multiply (-2 + 3x) * (-3 + 2x)
(-2(-3 + 2x) + 3x * (-3 + 2x)) + -1(2x + -1)(x + -2) = 4x2 + -12x + 9 + -6x
((-3 * -2 + 2x * -2) + 3x * (-3 + 2x)) + -1(2x + -1)(x + -2) = 4x2 + -12x + 9 + -6x
((6 + -4x) + 3x * (-3 + 2x)) + -1(2x + -1)(x + -2) = 4x2 + -12x + 9 + -6x
(6 + -4x + (-3 * 3x + 2x * 3x)) + -1(2x + -1)(x + -2) = 4x2 + -12x + 9 + -6x
(6 + -4x + (-9x + 6x2)) + -1(2x + -1)(x + -2) = 4x2 + -12x + 9 + -6x

Combine like terms: -4x + -9x = -13x
(6 + -13x + 6x2) + -1(2x + -1)(x + -2) = 4x2 + -12x + 9 + -6x

Reorder the terms:
6 + -13x + 6x2 + -1(-1 + 2x)(x + -2) = 4x2 + -12x + 9 + -6x

Reorder the terms:
6 + -13x + 6x2 + -1(-1 + 2x)(-2 + x) = 4x2 + -12x + 9 + -6x

Multiply (-1 + 2x) * (-2 + x)
6 + -13x + 6x2 + -1(-1(-2 + x) + 2x * (-2 + x)) = 4x2 + -12x + 9 + -6x
6 + -13x + 6x2 + -1((-2 * -1 + x * -1) + 2x * (-2 + x)) = 4x2 + -12x + 9 + -6x
6 + -13x + 6x2 + -1((2 + -1x) + 2x * (-2 + x)) = 4x2 + -12x + 9 + -6x
6 + -13x + 6x2 + -1(2 + -1x + (-2 * 2x + x * 2x)) = 4x2 + -12x + 9 + -6x
6 + -13x + 6x2 + -1(2 + -1x + (-4x + 2x2)) = 4x2 + -12x + 9 + -6x

Combine like terms: -1x + -4x = -5x
6 + -13x + 6x2 + -1(2 + -5x + 2x2) = 4x2 + -12x + 9 + -6x
6 + -13x + 6x2 + (2 * -1 + -5x * -1 + 2x2 * -1) = 4x2 + -12x + 9 + -6x
6 + -13x + 6x2 + (-2 + 5x + -2x2) = 4x2 + -12x + 9 + -6x

Reorder the terms:
6 + -2 + -13x + 5x + 6x2 + -2x2 = 4x2 + -12x + 9 + -6x

Combine like terms: 6 + -2 = 4
4 + -13x + 5x + 6x2 + -2x2 = 4x2 + -12x + 9 + -6x

Combine like terms: -13x + 5x = -8x
4 + -8x + 6x2 + -2x2 = 4x2 + -12x + 9 + -6x

Combine like terms: 6x2 + -2x2 = 4x2
4 + -8x + 4x2 = 4x2 + -12x + 9 + -6x

Reorder the terms:
4 + -8x + 4x2 = 9 + -12x + -6x + 4x2

Combine like terms: -12x + -6x = -18x
4 + -8x + 4x2 = 9 + -18x + 4x2

Add '-4x2' to each side of the equation.
4 + -8x + 4x2 + -4x2 = 9 + -18x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + -8x + 0 = 9 + -18x + 4x2 + -4x2
4 + -8x = 9 + -18x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + -8x = 9 + -18x + 0
4 + -8x = 9 + -18x

Solving
4 + -8x = 9 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
4 + -8x + 18x = 9 + -18x + 18x

Combine like terms: -8x + 18x = 10x
4 + 10x = 9 + -18x + 18x

Combine like terms: -18x + 18x = 0
4 + 10x = 9 + 0
4 + 10x = 9

Add '-4' to each side of the equation.
4 + -4 + 10x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 9 + -4
10x = 9 + -4

Combine like terms: 9 + -4 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

See similar equations:

| 3(-.25y+5)+2y=0 | | b+2=-2b | | 10z-z=-1+3z-1-4 | | (k-3)+7=2k-(k+8) | | 5(c-9)-4c=2 | | x-3+x=2x-7+4 | | 1/2(b-3)-5/2 | | 3x^2-30x-180=0 | | [3x+3]=18 | | 4(-6)+4y=-24 | | w/10-7=3 | | 5y-16=3y+6 | | 2x-(x+2)= | | 18w+21+2=0 | | 18x-x-7+5x=14-x+3+2x | | 0.3(2a-3)=0.4a+1.1 | | 4(4y)+y=3.4 | | 7w-14= | | 4w+1=8w+9 | | 2(2t-3)-1=-5 | | 1+x=20 | | 6b/2-11b-2 | | 7b-0.1=8b | | 6x+04y-02z=10 | | 2k^2-3-9=0 | | 27=x^19+y | | 3+-x= | | 15q^2+7q-2=0 | | 4+3=y | | 3x+-0x= | | (6x-1)/5 | | ln(2x+3)=8 |

Equations solver categories