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

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


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

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

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

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

Combine like terms: -8x + 3x = -5x
(-4 + -5x + 6x2) = 2

Solving
-4 + -5x + 6x2 = 2

Solving for variable 'x'.

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

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

Combine like terms: 2 + -2 = 0
-6 + -5x + 6x2 = 0

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


Subproblem 1
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

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-0.6666666667, 1.5}

See similar equations:

| -27=4r+1 | | -4+3j=-13 | | -7/8x=-1/2 | | 3+x+-12=-15 | | 42+8x+13= | | 0.3/0.4 | | n+(3n+3)+4n-1=66 | | -27=4+1 | | 2n+18+5n+22=180 | | -3/8=-6x | | 3x-5(x-5)=-3+5x+14 | | n+(3n+3)=4n-1 | | 2x/5-4x/5=3 | | 9h-4=104 | | 14=1/4(q-8) | | -x+8+2x-19=30 | | 4z-5=-5 | | -x+8+2x-19=39 | | 6+3x-4+x=y+9-3y+5 | | 9=x-21 | | 2/3=7/8x | | 3x-2x-13+8=7 | | 140=10x+4x | | n+(4n-2)+(4n-7)=45 | | 46=4i-10 | | 6+x-18=-4 | | 18-3x=29 | | 3x-2y=yz+5 | | -3x-10=x+4 | | 11x-2x+15=8 | | 3*(2n+5)=51 | | -5y=9-2x |

Equations solver categories