(3x-7)(4x-3)-(2x-1)(3x-4)=

Simple and best practice solution for (3x-7)(4x-3)-(2x-1)(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 (3x-7)(4x-3)-(2x-1)(3x-4)= equation: 


Simplifying
(3x + -7)(4x + -3) + -1(2x + -1)(3x + -4) = 0

Reorder the terms:
(-7 + 3x)(4x + -3) + -1(2x + -1)(3x + -4) = 0

Reorder the terms:
(-7 + 3x)(-3 + 4x) + -1(2x + -1)(3x + -4) = 0

Multiply (-7 + 3x) * (-3 + 4x)
(-7(-3 + 4x) + 3x * (-3 + 4x)) + -1(2x + -1)(3x + -4) = 0
((-3 * -7 + 4x * -7) + 3x * (-3 + 4x)) + -1(2x + -1)(3x + -4) = 0
((21 + -28x) + 3x * (-3 + 4x)) + -1(2x + -1)(3x + -4) = 0
(21 + -28x + (-3 * 3x + 4x * 3x)) + -1(2x + -1)(3x + -4) = 0
(21 + -28x + (-9x + 12x2)) + -1(2x + -1)(3x + -4) = 0

Combine like terms: -28x + -9x = -37x
(21 + -37x + 12x2) + -1(2x + -1)(3x + -4) = 0

Reorder the terms:
21 + -37x + 12x2 + -1(-1 + 2x)(3x + -4) = 0

Reorder the terms:
21 + -37x + 12x2 + -1(-1 + 2x)(-4 + 3x) = 0

Multiply (-1 + 2x) * (-4 + 3x)
21 + -37x + 12x2 + -1(-1(-4 + 3x) + 2x * (-4 + 3x)) = 0
21 + -37x + 12x2 + -1((-4 * -1 + 3x * -1) + 2x * (-4 + 3x)) = 0
21 + -37x + 12x2 + -1((4 + -3x) + 2x * (-4 + 3x)) = 0
21 + -37x + 12x2 + -1(4 + -3x + (-4 * 2x + 3x * 2x)) = 0
21 + -37x + 12x2 + -1(4 + -3x + (-8x + 6x2)) = 0

Combine like terms: -3x + -8x = -11x
21 + -37x + 12x2 + -1(4 + -11x + 6x2) = 0
21 + -37x + 12x2 + (4 * -1 + -11x * -1 + 6x2 * -1) = 0
21 + -37x + 12x2 + (-4 + 11x + -6x2) = 0

Reorder the terms:
21 + -4 + -37x + 11x + 12x2 + -6x2 = 0

Combine like terms: 21 + -4 = 17
17 + -37x + 11x + 12x2 + -6x2 = 0

Combine like terms: -37x + 11x = -26x
17 + -26x + 12x2 + -6x2 = 0

Combine like terms: 12x2 + -6x2 = 6x2
17 + -26x + 6x2 = 0

Solving
17 + -26x + 6x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
2.833333333 + -4.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.833333333' to each side of the equation.
2.833333333 + -4.333333333x + -2.833333333 + x2 = 0 + -2.833333333

Reorder the terms:
2.833333333 + -2.833333333 + -4.333333333x + x2 = 0 + -2.833333333

Combine like terms: 2.833333333 + -2.833333333 = 0.000000000
0.000000000 + -4.333333333x + x2 = 0 + -2.833333333
-4.333333333x + x2 = 0 + -2.833333333

Combine like terms: 0 + -2.833333333 = -2.833333333
-4.333333333x + x2 = -2.833333333

The x term is -4.333333333x.  Take half its coefficient (-2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
-4.333333333x + 4.694444446 + x2 = -2.833333333 + 4.694444446

Reorder the terms:
4.694444446 + -4.333333333x + x2 = -2.833333333 + 4.694444446

Combine like terms: -2.833333333 + 4.694444446 = 1.861111113
4.694444446 + -4.333333333x + x2 = 1.861111113

Factor a perfect square on the left side:
(x + -2.166666667)(x + -2.166666667) = 1.861111113

Calculate the square root of the right side: 1.364225463

Break this problem into two subproblems by setting 
(x + -2.166666667) equal to 1.364225463 and -1.364225463.


Subproblem 1
x + -2.166666667 = 1.364225463

Simplifying
x + -2.166666667 = 1.364225463

Reorder the terms:
-2.166666667 + x = 1.364225463

Solving
-2.166666667 + x = 1.364225463

Solving for variable 'x'.

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

Add '2.166666667' to each side of the equation.
-2.166666667 + 2.166666667 + x = 1.364225463 + 2.166666667

Combine like terms: -2.166666667 + 2.166666667 = 0.000000000
0.000000000 + x = 1.364225463 + 2.166666667
x = 1.364225463 + 2.166666667

Combine like terms: 1.364225463 + 2.166666667 = 3.53089213
x = 3.53089213

Simplifying
x = 3.53089213


Subproblem 2
x + -2.166666667 = -1.364225463

Simplifying
x + -2.166666667 = -1.364225463

Reorder the terms:
-2.166666667 + x = -1.364225463

Solving
-2.166666667 + x = -1.364225463

Solving for variable 'x'.

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

Add '2.166666667' to each side of the equation.
-2.166666667 + 2.166666667 + x = -1.364225463 + 2.166666667

Combine like terms: -2.166666667 + 2.166666667 = 0.000000000
0.000000000 + x = -1.364225463 + 2.166666667
x = -1.364225463 + 2.166666667

Combine like terms: -1.364225463 + 2.166666667 = 0.802441204
x = 0.802441204

Simplifying
x = 0.802441204


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.53089213, 0.802441204}

See similar equations:

| x+9-7.93+y= | | 1+7x=-6x+79 | | x=-3+y | | 6=7x+5x+8 | | -7-4x=3x-91 | | -3-4x+2x=-7 | | 36=-16t^2+48t+4 | | 4=w+7 | | 10x-2=2x^2-2 | | (9x^2-16)(9x^2+16)= | | 2d+d+10=4(d-5) | | 1/2(6x-9)=4x-9 | | 5x-1+7x=83 | | 3(u+5)=-3(5u-7)+4u | | 7x^2-9x=-4 | | 5v^2-2v=0 | | 3.5*1.7= | | -40=3x+2x-10 | | 7x^2-9x= | | 4y-4+4(3y+2)=-2(y+3) | | 4x^3-18x^2+18x=0 | | 2+3x-2x=2 | | 7x^2=21x^2 | | 4y-4+4(3y+2)=-2 | | (6x+7y)(6x+7y)= | | y=5(x+16) | | -4x^2-8+2x+x^3=0 | | 5p+20-12=3p-12-2p | | 6-6x=-66 | | -4+2x+3x=29 | | 1x+2=14 | | x+15-4x=9x+14 |

Equations solver categories