(2x-3)(3x-1)=24

Simple and best practice solution for (2x-3)(3x-1)=24 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 (2x-3)(3x-1)=24 equation: 


Simplifying
(2x + -3)(3x + -1) = 24

Reorder the terms:
(-3 + 2x)(3x + -1) = 24

Reorder the terms:
(-3 + 2x)(-1 + 3x) = 24

Multiply (-3 + 2x) * (-1 + 3x)
(-3(-1 + 3x) + 2x * (-1 + 3x)) = 24
((-1 * -3 + 3x * -3) + 2x * (-1 + 3x)) = 24
((3 + -9x) + 2x * (-1 + 3x)) = 24
(3 + -9x + (-1 * 2x + 3x * 2x)) = 24
(3 + -9x + (-2x + 6x2)) = 24

Combine like terms: -9x + -2x = -11x
(3 + -11x + 6x2) = 24

Solving
3 + -11x + 6x2 = 24

Solving for variable 'x'.

Reorder the terms:
3 + -24 + -11x + 6x2 = 24 + -24

Combine like terms: 3 + -24 = -21
-21 + -11x + 6x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-21 + -11x + 6x2 = 0

Factor a trinomial.
(-7 + -6x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -6x)' equal to zero and attempt to solve:

Simplifying
-7 + -6x = 0

Solving
-7 + -6x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = 0 + 7
-6x = 0 + 7

Combine like terms: 0 + 7 = 7
-6x = 7

Divide each side by '-6'.
x = -1.166666667

Simplifying
x = -1.166666667

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1.166666667, 3}

See similar equations:

| 3r+18=5r-40 | | a^2-14a=0 | | 3(w-4)-7=-5(-4w+5)-w | | -3=15c | | -92-5x=11x+116 | | 10x^2+9=0 | | 3r^2-12r+4= | | -2=5(x-4)-(x-6) | | 12x^2+40x-7=0 | | 3r^2-12r+4=10 | | (2x^2-1)-24=0 | | -47-12x=85-6x | | 11.3n+5.6=28.2 | | (x+8)(6x-7)=0 | | 2x-5=5x+27 | | 5x-18=-83 | | x=364*455*195 | | -113+3x=76+10x | | g=3*4 | | 17.88*5= | | 25*x-19=56 | | 6x+8=7x-6 | | x-3=-14.2 | | 2(x-3)-3(x-1)=0 | | 5x=2(3x+11) | | (-x)(3x)= | | 6b^2+b-70=0 | | 5x-6+3x=26 | | 30x^2+5x-25=0 | | 5w+6-12w=-29 | | m^2+2m-48=0 | | 6=8x+x |

Equations solver categories