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

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


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

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

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

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

Combine like terms: -3x + 8x = 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.
(-3 + -2x)(2 + -3x) = 0


Subproblem 1
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

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 = {-1.5, 0.6666666667}

See similar equations:

| 59-7x=2x+18 | | 3y+12=3y | | 9x-2(4x+5)=32 | | x+x+2+x+4=147 | | -0.6=-3 | | =3a+7b+4+7a | | -6=x-(3-4x) | | 3x-8=-23 | | 3x+23=11x-49 | | -6a+11=-22 | | 8h-9=8h | | 3(-14+2)=13 | | 4x-30=2x+20 | | =8x+y+4x+2y | | 8s+6=54 | | -5,3/4=-2,1/2(m) | | -4.8f+9=-5 | | 3x+5=2x-2 | | 3p-200=200-2p | | x+50x=220 | | 4(2n+9)+15n=30n-6 | | x-143+512=745 | | (x+6)(x-9)=-14 | | 4x=3x-1+5+2x | | =x+3y+12+5y | | 2/3-9=6-2/3 | | -2p+(8p-6)=-18 | | 5(4Z-1)-3(2+7)=14(Z+1) | | =2x+9y+6x | | x^2-21x+100=-3x | | 7x=9+8x | | 12-3f=5f+1 |

Equations solver categories