2x(4x-3)-5(4x-3)=0

Simple and best practice solution for 2x(4x-3)-5(4x-3)=0 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(4x-3)-5(4x-3)=0 equation: 


Simplifying
2x(4x + -3) + -5(4x + -3) = 0

Reorder the terms:
2x(-3 + 4x) + -5(4x + -3) = 0
(-3 * 2x + 4x * 2x) + -5(4x + -3) = 0
(-6x + 8x2) + -5(4x + -3) = 0

Reorder the terms:
-6x + 8x2 + -5(-3 + 4x) = 0
-6x + 8x2 + (-3 * -5 + 4x * -5) = 0
-6x + 8x2 + (15 + -20x) = 0

Reorder the terms:
15 + -6x + -20x + 8x2 = 0

Combine like terms: -6x + -20x = -26x
15 + -26x + 8x2 = 0

Solving
15 + -26x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -4x)(5 + -2x) = 0


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

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

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

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

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0.75, 2.5}

See similar equations:

| -5x+3=-2(4x+12) | | f(x)=-3x^2+6x-7 | | (X-2)(x+4)=y | | 3d=3d+9 | | 12w-4= | | -32-5m=7m+8 | | 15x^2+11=86 | | 2-5Xw= | | 0.4(x-2)=9.2 | | 3x(2x+1)=2x+11 | | L=28+8k | | 2(6w-2)= | | 3w-2.4=1.8 | | 3x^3+3x^2+2x=0 | | w+w+5w+5w-2= | | 2m-4s=9 | | 75-9g=2(3-f) | | -3-x-x^2=0 | | 5(x+7)+2=-4(x-3)-11 | | Log[4x+9]=5 | | 7(x-7)-5=25x-108 | | 75-9g= | | 13/15//7/10 | | 4v+20-4=34 | | Log(4x+9)=5 | | x+x*19.6=4280 | | -16t^2+10t+26=0 | | 12x^2+16=172 | | x/9=251 | | 6(x+4)-5[x-(2x-3)]= | | -2(x-3)+5=3(x+4)+8 | | 3=3+y*.08 |

Equations solver categories