6(x^2)-37x+56=0

Simple and best practice solution for 6(x^2)-37x+56=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 6(x^2)-37x+56=0 equation: 


Simplifying
6(x2) + -37x + 56 = 0

Reorder the terms:
56 + -37x + 6x2 = 0

Solving
56 + -37x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -3x)(7 + -2x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {2.666666667, 3.5}

See similar equations:

| 2p=2p+17 | | 6x+6=2(x+7) | | -4(3-2)=44 | | (9x^2)+6x+1=0 | | x^2-2x-1=100 | | -0.05x=9.5 | | 3(2t+25)-2(2t+5)=79 | | -21=9a-15+3a | | 1-4x-4x=-15 | | -7(t+1)-t-10=-8(t+3)+7 | | 12x-5x+165=12x+65 | | 64t^6-1=0 | | 2m+1+3m-6=90 | | -6+(-8)= | | 5(t+2)-3t=15 | | (3x+5)+(x+1)=4(x-1)+9 | | 17x-1=15+3 | | -0.13x=0.585 | | -n-n=10 | | 6c-8-2c=-6 | | v+2-6v=-15 | | 1/3(75x+60)=-30 | | 5-4(6+8)= | | -4(3x-2)=44 | | 2(6x-1)=-24 | | 2(a+3)-(a-1)=8 | | -3.052=1.4n | | 220=.5x-12x | | -40+3=-5(8+5r) | | -5(w-8)+7w+2= | | -4a+x=9 | | 8(3a-b)+4(2b-a)= |

Equations solver categories