7x^2+20x-11=13-2x

Simple and best practice solution for 7x^2+20x-11=13-2x 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 7x^2+20x-11=13-2x equation: 


Simplifying
7x2 + 20x + -11 = 13 + -2x

Reorder the terms:
-11 + 20x + 7x2 = 13 + -2x

Solving
-11 + 20x + 7x2 = 13 + -2x

Solving for variable 'x'.

Reorder the terms:
-11 + -13 + 20x + 2x + 7x2 = 13 + -2x + -13 + 2x

Combine like terms: -11 + -13 = -24
-24 + 20x + 2x + 7x2 = 13 + -2x + -13 + 2x

Combine like terms: 20x + 2x = 22x
-24 + 22x + 7x2 = 13 + -2x + -13 + 2x

Reorder the terms:
-24 + 22x + 7x2 = 13 + -13 + -2x + 2x

Combine like terms: 13 + -13 = 0
-24 + 22x + 7x2 = 0 + -2x + 2x
-24 + 22x + 7x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 22x + 7x2 = 0

Factor a trinomial.
(-4 + -1x)(6 + -7x) = 0


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

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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

Simplifying
6 + -7x = 0

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

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

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

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-4, 0.8571428571}

See similar equations:

| 4x-3y+2z=17 | | 6=4x-30 | | 3x+2y-z=17 | | 4x^3+15x^2-54x=0 | | -12+3x=4-x | | -2x+3(2x-4)=-6-2x | | i-3/4i-4=1 | | 10x+10y+x^2+xy= | | -19=1+4x | | 9x^2-16x+1089=0 | | 4*10^4/2*10^-2 | | 5t-15=-10 | | -10y+y=0 | | 9(y+3)=12 | | (17b-9)-4(4b+1)=-3 | | 18x^2+160x+75=0 | | 7x+6x+3+8=7x+5+5x | | -3x=253 | | 6/5-x=x/15-10/13 | | 5.7x^2-3x+2=x^2 | | 3x^12y^15= | | 2064/508 | | y=(39-x)/x | | 0(x)=8x+7 | | x+11.5=-6.5 | | -4(x)=8x+7 | | 3x-2+2x+3+5x=180 | | 7(x)=8x+7 | | x+11.5=-65 | | 8x-(1-x)=3x-10-(2x+15) | | x+11.5=6.5 | | 2z-4z=14 |

Equations solver categories