6x^2+4x-17=39-37x

Simple and best practice solution for 6x^2+4x-17=39-37x 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 6x^2+4x-17=39-37x equation: 


Simplifying
6x2 + 4x + -17 = 39 + -37x

Reorder the terms:
-17 + 4x + 6x2 = 39 + -37x

Solving
-17 + 4x + 6x2 = 39 + -37x

Solving for variable 'x'.

Reorder the terms:
-17 + -39 + 4x + 37x + 6x2 = 39 + -37x + -39 + 37x

Combine like terms: -17 + -39 = -56
-56 + 4x + 37x + 6x2 = 39 + -37x + -39 + 37x

Combine like terms: 4x + 37x = 41x
-56 + 41x + 6x2 = 39 + -37x + -39 + 37x

Reorder the terms:
-56 + 41x + 6x2 = 39 + -39 + -37x + 37x

Combine like terms: 39 + -39 = 0
-56 + 41x + 6x2 = 0 + -37x + 37x
-56 + 41x + 6x2 = -37x + 37x

Combine like terms: -37x + 37x = 0
-56 + 41x + 6x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -6x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 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 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {-8, 1.166666667}

See similar equations:

| x^2+x+1=x^2+ax+b | | 13m=-19+84 | | -x/8-5/2 | | (n-2)*180/n=179 | | 1/(7-j2) | | 1/(7-2j) | | 3.14*8.6*12.7*1/3 | | 6/5-16y | | 6x-9=6x+7 | | x=y^2+6y+89 | | H=-16t^2+224t+240 | | 3(x-4)=-4x+36 | | (x+5)-2(4x-1)=0+2 | | -6(w+4)=-2w-28 | | 55x-36= | | 5.6(x-2)=-0.4x+19.6 | | x^2+3x+6x= | | (19b-7)-6(3b+1)=-2 | | (9.3+0.7)(4.4-0.6)= | | 30=5(d-2) | | 2.4/.7 | | 6ln(x-9)=1 | | 59-w=208 | | 6t-8=4t-4 | | 9x/-3x-5 | | 3y+12=8y-20 | | (7x+8)(4x-7)=0 | | (2x+5)(2x+5)=4x^2+20x+25 | | 4(5/3-3/2y)-9y=9 | | 5(2)+4y=-7 | | 5(-4)+4y=-7 | | 2x=5+y |

Equations solver categories