12x^2-47x+40=0

Simple and best practice solution for 12x^2-47x+40=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 12x^2-47x+40=0 equation: 


Simplifying
12x2 + -47x + 40 = 0

Reorder the terms:
40 + -47x + 12x2 = 0

Solving
40 + -47x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -4x)(8 + -3x) = 0


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {1.25, 2.666666667}

See similar equations:

| 5t+2=16-2t | | 4-3v=16 | | x^2+0.3x+0.2=0 | | x^2-10x-75=0 | | 8x-2y=18 | | -24=3(y-7) | | -7x^4-25=0 | | 3x+.2x=2.5+3.5 | | 16x^2-19x=0 | | 13q=-39 | | 5(2+9)= | | x^3+3x^2=81x+243 | | -8x^4-10x^3=0 | | 2[w+3(w-1)]=18 | | -47-7x=-159 | | 2x+7-3x=3(9x+1)+4 | | 4y=-8x+12 | | 5(x-6)-6(x-5)=x+5-(x-3) | | 2(x+1)+x=26 | | 4(x+3)=3(1+x) | | 8(4+a)=2a | | 3.7+8.2+8.2= | | -8+5m=22 | | -15+45p=9 | | x^2+12x=8 | | 3(5r-3)-4= | | 5(v-1)-8=-4(-5v+1)-3v | | 3(3x+1)=8x+20 | | 35=3x-4 | | 2(x-5)+3(8-2)=8+7(x-4) | | 4y-3y=28 | | -150=5m |

Equations solver categories