(3x-2)(4x-1)=0

Simple and best practice solution for (3x-2)(4x-1)=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-2)(4x-1)=0 equation: 


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

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

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

Multiply (-2 + 3x) * (-1 + 4x)
(-2(-1 + 4x) + 3x * (-1 + 4x)) = 0
((-1 * -2 + 4x * -2) + 3x * (-1 + 4x)) = 0
((2 + -8x) + 3x * (-1 + 4x)) = 0
(2 + -8x + (-1 * 3x + 4x * 3x)) = 0
(2 + -8x + (-3x + 12x2)) = 0

Combine like terms: -8x + -3x = -11x
(2 + -11x + 12x2) = 0

Solving
2 + -11x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -4x)(2 + -3x) = 0


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

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

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

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

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0.25, 0.6666666667}

See similar equations:

| 1d^2=18d-16 | | 1x^2+2x-3=0 | | -4/5-2n=-10/5 | | 90+c=10c-9 | | 7x+7+2x=2 | | d=3(p+q) | | 4x^5-12x^4+6x=5x^3-2x | | 5a+6=3a+30 | | 1/3x-5/12=5/6 | | 7=3(x-2)+5 | | -3/7-3n=9/7 | | 3x^2=13x-16 | | 6+3=-5 | | 3r+2=-10 | | 2k+5k=3k-6 | | 2x-3+5x=3x-7 | | 2n-3/5=11/5 | | 3h-2=-28 | | 2X+6Y+4=0 | | 13=1+x | | 6x-13+3x=5+9x-18 | | 14+12=-13x | | (x+3)+(x-8)=55 | | -20=5(2a-4)-3a | | -2=12+r | | f(x)=20+7cos(x) | | -3(-2k+4)= | | -4(y+5)=2(y+25) | | 3/5*X=24 | | 0.5=0.67x | | 2/3x=-81/5 | | f(15)=20+7cos(15) |

Equations solver categories