6x^2+4x-11=31-25x

Simple and best practice solution for 6x^2+4x-11=31-25x 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-11=31-25x equation: 


Simplifying
6x2 + 4x + -11 = 31 + -25x

Reorder the terms:
-11 + 4x + 6x2 = 31 + -25x

Solving
-11 + 4x + 6x2 = 31 + -25x

Solving for variable 'x'.

Reorder the terms:
-11 + -31 + 4x + 25x + 6x2 = 31 + -25x + -31 + 25x

Combine like terms: -11 + -31 = -42
-42 + 4x + 25x + 6x2 = 31 + -25x + -31 + 25x

Combine like terms: 4x + 25x = 29x
-42 + 29x + 6x2 = 31 + -25x + -31 + 25x

Reorder the terms:
-42 + 29x + 6x2 = 31 + -31 + -25x + 25x

Combine like terms: 31 + -31 = 0
-42 + 29x + 6x2 = 0 + -25x + 25x
-42 + 29x + 6x2 = -25x + 25x

Combine like terms: -25x + 25x = 0
-42 + 29x + 6x2 = 0

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


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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 = {-6, 1.166666667}

See similar equations:

| 17+-5m=50+6m | | 8b-5.7b=11.96 | | -7x-3=2(x+6) | | 9+5z=53 | | 3b-8=10+2(b-3) | | x^2-16x+64=69 | | 24x^2-144x=0 | | 2y^2+x+8y+9=0 | | x^2-64=69 | | 4(x+3)-(x+2)= | | a^2=80+2a | | 9(x+1)+6=5x+4(4+x) | | 3.8d+7=8.2d+70 | | 3.8d+7=8.2d+701 | | x^2+8x-20=o | | 13n-17-17=22-17 | | -8a-1=23 | | 7x+6=9-(8x-4) | | 12x-4=3x-58 | | 24y-10y=345-1x | | 7+11-5w=29-w+2-4w | | 4b+21=5b | | 20-4(y-3)=12y | | -3x+2=-x+4 | | 8x+3(2x-3x)=28 | | 20=-16-3+z | | 3x^2+6y^2= | | .5x+10=48 | | 5+x=6+2y | | 10+x-4=12 | | 3x^2+2y^2= | | 15(3.333)+5-0.111=10 |

Equations solver categories