(x-1)(3x-4)=24

Simple and best practice solution for (x-1)(3x-4)=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 (x-1)(3x-4)=24 equation:


Simplifying
(x + -1)(3x + -4) = 24

Reorder the terms:
(-1 + x)(3x + -4) = 24

Reorder the terms:
(-1 + x)(-4 + 3x) = 24

Multiply (-1 + x) * (-4 + 3x)
(-1(-4 + 3x) + x(-4 + 3x)) = 24
((-4 * -1 + 3x * -1) + x(-4 + 3x)) = 24
((4 + -3x) + x(-4 + 3x)) = 24
(4 + -3x + (-4 * x + 3x * x)) = 24
(4 + -3x + (-4x + 3x2)) = 24

Combine like terms: -3x + -4x = -7x
(4 + -7x + 3x2) = 24

Solving
4 + -7x + 3x2 = 24

Solving for variable 'x'.

Reorder the terms:
4 + -24 + -7x + 3x2 = 24 + -24

Combine like terms: 4 + -24 = -20
-20 + -7x + 3x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-20 + -7x + 3x2 = 0

Factor a trinomial.
(-5 + -3x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.666666667, 4}

See similar equations:

| f(x)=-2 | | 3/10-3/35 | | (x+2)(x^2-2x+1)= | | x+2/3+1=1/2-x/4 | | (x-1)(3x-4)=576 | | 5x+37=14x+53 | | -(9x-8)-(2x-6)+5=-5(x-4)-(8x+2)+8 | | 5x+(-8)=3x+2 | | f(n)=n^2-n-30 | | -(-1-2x)-x--2/3=5 | | 4x+3=2x+(-11) | | -r+7=6 | | 2/3x+(-2)=10 | | 5x-2=45 | | -32=8 | | 88-41x=26-41x | | F(x)=x^2+8x+12 | | 9(x-9)+6=9x+6 | | x+(-9)=3 | | -7=21r | | y/6=2/3.9 | | 2(n+6)+4n=18 | | 10x^2+3x-9=0 | | (7y-9)2=(6y+3)3 | | F(t)=t^2+7t-60 | | 9+7x+7x=121 | | 3(6x-7)(5x+2)=0 | | 5x+2[3x+(-4)]=14x+7 | | x+5x+2-6-3x-4=2x-10+x-6 | | -9t^2=400 | | -(-1-2x)-x-2/3=5 | | 10+6x=45-8x |

Equations solver categories