(3x-4)(x-2)-(6x-8)(x-3)=0

Simple and best practice solution for (3x-4)(x-2)-(6x-8)(x-3)=0 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-4)(x-2)-(6x-8)(x-3)=0 equation:


Simplifying
(3x + -4)(x + -2) + -1(6x + -8)(x + -3) = 0

Reorder the terms:
(-4 + 3x)(x + -2) + -1(6x + -8)(x + -3) = 0

Reorder the terms:
(-4 + 3x)(-2 + x) + -1(6x + -8)(x + -3) = 0

Multiply (-4 + 3x) * (-2 + x)
(-4(-2 + x) + 3x * (-2 + x)) + -1(6x + -8)(x + -3) = 0
((-2 * -4 + x * -4) + 3x * (-2 + x)) + -1(6x + -8)(x + -3) = 0
((8 + -4x) + 3x * (-2 + x)) + -1(6x + -8)(x + -3) = 0
(8 + -4x + (-2 * 3x + x * 3x)) + -1(6x + -8)(x + -3) = 0
(8 + -4x + (-6x + 3x2)) + -1(6x + -8)(x + -3) = 0

Combine like terms: -4x + -6x = -10x
(8 + -10x + 3x2) + -1(6x + -8)(x + -3) = 0

Reorder the terms:
8 + -10x + 3x2 + -1(-8 + 6x)(x + -3) = 0

Reorder the terms:
8 + -10x + 3x2 + -1(-8 + 6x)(-3 + x) = 0

Multiply (-8 + 6x) * (-3 + x)
8 + -10x + 3x2 + -1(-8(-3 + x) + 6x * (-3 + x)) = 0
8 + -10x + 3x2 + -1((-3 * -8 + x * -8) + 6x * (-3 + x)) = 0
8 + -10x + 3x2 + -1((24 + -8x) + 6x * (-3 + x)) = 0
8 + -10x + 3x2 + -1(24 + -8x + (-3 * 6x + x * 6x)) = 0
8 + -10x + 3x2 + -1(24 + -8x + (-18x + 6x2)) = 0

Combine like terms: -8x + -18x = -26x
8 + -10x + 3x2 + -1(24 + -26x + 6x2) = 0
8 + -10x + 3x2 + (24 * -1 + -26x * -1 + 6x2 * -1) = 0
8 + -10x + 3x2 + (-24 + 26x + -6x2) = 0

Reorder the terms:
8 + -24 + -10x + 26x + 3x2 + -6x2 = 0

Combine like terms: 8 + -24 = -16
-16 + -10x + 26x + 3x2 + -6x2 = 0

Combine like terms: -10x + 26x = 16x
-16 + 16x + 3x2 + -6x2 = 0

Combine like terms: 3x2 + -6x2 = -3x2
-16 + 16x + -3x2 = 0

Solving
-16 + 16x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

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

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {4, 1.333333333}

See similar equations:

| 8(a+3)=56 | | 15=8c-9 | | 5e-9=21 | | 32x*x^2=0 | | (2x-3)2=36 | | 5x(2x-1)=7x | | 3x^2-4y^2-6x-1=0 | | 4x-(x-2)=18-3x | | (4b-6r)+(2r-4)=(r+1)+(b-3) | | r+1=B-3 | | 3m+12=2(m-3) | | 5.5(2-x)-3(4-2x)=20 | | (n+1)*6=45 | | 3a+3=6a | | 19-6x=9-7x | | -3(5x-1)-2(7-8x)=-10 | | 4x+11=-13-2 | | x+2x+2x+6=x+12 | | 10+4x=-8+x | | 144x+648x^3=0 | | 0.5x^2+x-4=0.5(x^2+1)-3.5 | | 12-5(x-2)+6x=8 | | (2x+3)(x-6)=(2k+3)(k-6) | | -10x-5= | | 4x^2-260x=0 | | 3ab+6a^2= | | 84=2w^2-2w | | 2ab-4ac+10a= | | 1+1=35467 | | 2*7x=280 | | (x-2y)dy+(2x+y)dy=0 | | (3x+5)=7 |

Equations solver categories