(3x-2)(4x-7)=

Simple and best practice solution for (3x-2)(4x-7)= 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-7)= equation: 


Simplifying
(3x + -2)(4x + -7) = 0

Reorder the terms:
(-2 + 3x)(4x + -7) = 0

Reorder the terms:
(-2 + 3x)(-7 + 4x) = 0

Multiply (-2 + 3x) * (-7 + 4x)
(-2(-7 + 4x) + 3x * (-7 + 4x)) = 0
((-7 * -2 + 4x * -2) + 3x * (-7 + 4x)) = 0
((14 + -8x) + 3x * (-7 + 4x)) = 0
(14 + -8x + (-7 * 3x + 4x * 3x)) = 0
(14 + -8x + (-21x + 12x2)) = 0

Combine like terms: -8x + -21x = -29x
(14 + -29x + 12x2) = 0

Solving
14 + -29x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -3x)(7 + -4x) = 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 '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {0.6666666667, 1.75}

See similar equations:

| 2a-8=4a-2a+4 | | 4x-6=3x-73 | | 2=8v+5(v+3) | | 5t^2+14t=23 | | 3x-8y=72 | | 10x-6=x+2 | | 5t^2+14t-23=0 | | 0=4x^2-25 | | 11x+9=5x+45 | | 10x+33=5x+2 | | y=4x^2-25 | | 2z^2+3z-35= | | 3.2t=28.8 | | 3t-t-7=t-4 | | 4(3+2)-6x=2(3+x)+6 | | 27.3x+8.34=16.19 | | 14-4(x-3)-3(2x-4)=15-5x-2 | | 3056890000-15000000x=2085000000+555000x | | 7-2(1-x)-3(x-2)=3x-5 | | 4z^2+16z+15= | | 3056890000-15000000x=208500000+555000x | | 9x+12=7x+2 | | sin(5x)=sin(7x) | | -4y^2-12y-23=0 | | 9d-25=2 | | 16z^2-8z-3= | | y-4+2=(y-7) | | 7x+3x-5=25 | | 88=5(x)+8 | | 6x+4x+13=17 | | 2x^2-17x+35= | | 2(4x+3)+3(2x-1)=31 |

Equations solver categories