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

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


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

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

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

Multiply (-3 + 2x) * (-4 + 3x)
0 = (-3(-4 + 3x) + 2x * (-4 + 3x))
0 = ((-4 * -3 + 3x * -3) + 2x * (-4 + 3x))
0 = ((12 + -9x) + 2x * (-4 + 3x))
0 = (12 + -9x + (-4 * 2x + 3x * 2x))
0 = (12 + -9x + (-8x + 6x2))

Combine like terms: -9x + -8x = -17x
0 = (12 + -17x + 6x2)

Solving
0 = 12 + -17x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + -12 = -12
-12 + 17x + -6x2 = 12 + -17x + 6x2 + -12 + 17x + -6x2

Reorder the terms:
-12 + 17x + -6x2 = 12 + -12 + -17x + 17x + 6x2 + -6x2

Combine like terms: 12 + -12 = 0
-12 + 17x + -6x2 = 0 + -17x + 17x + 6x2 + -6x2
-12 + 17x + -6x2 = -17x + 17x + 6x2 + -6x2

Combine like terms: -17x + 17x = 0
-12 + 17x + -6x2 = 0 + 6x2 + -6x2
-12 + 17x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-12 + 17x + -6x2 = 0

Factor a trinomial.
(-3 + 2x)(4 + -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 '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {1.5, 1.333333333}

See similar equations:

| x^5/3=-32 | | 32xy+40bx-12ay-15ab= | | f(x)=x^6-10x^5-400x^4+2500x^3 | | 1x+2x+0.25=z | | 5(2x+3)=60 | | (a-(15/2))^2 | | 10p-10=-4p+6 | | 1+11x=-9+x | | y=2x+x^2 | | 9x-3x-4whenx=0 | | 2=b+15 | | 4-9i/6i= | | 4-9i/6i | | 1/2(190^2-190)= | | 10p+12=5p-3 | | 9y=5y^2-2 | | 2y+4=-3y-4+5y | | n+9=26 | | -9y=5y^2+5 | | (3-2i)-(-5-9i)= | | 3=8y-5y-6 | | 3y-7=-17 | | 2n^3+n^2-136=0 | | 4(-3x-10)=-124 | | 11x=24+8y | | 4x-3(6x-7)=11-7(3x+6) | | (16x^8-10x^3)+(-2x^3)= | | 2y^2-14=0 | | Y=5x^2ln(5x) | | 5(2+4)=3(x+5)-19 | | r+12/4=6 | | 2c(c-1)= |

Equations solver categories