4x^2+11x-22=20-6x

Simple and best practice solution for 4x^2+11x-22=20-6x 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 4x^2+11x-22=20-6x equation: 


Simplifying
4x2 + 11x + -22 = 20 + -6x

Reorder the terms:
-22 + 11x + 4x2 = 20 + -6x

Solving
-22 + 11x + 4x2 = 20 + -6x

Solving for variable 'x'.

Reorder the terms:
-22 + -20 + 11x + 6x + 4x2 = 20 + -6x + -20 + 6x

Combine like terms: -22 + -20 = -42
-42 + 11x + 6x + 4x2 = 20 + -6x + -20 + 6x

Combine like terms: 11x + 6x = 17x
-42 + 17x + 4x2 = 20 + -6x + -20 + 6x

Reorder the terms:
-42 + 17x + 4x2 = 20 + -20 + -6x + 6x

Combine like terms: 20 + -20 = 0
-42 + 17x + 4x2 = 0 + -6x + 6x
-42 + 17x + 4x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
-42 + 17x + 4x2 = 0

Factor a trinomial.
(-6 + -1x)(7 + -4x) = 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 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {-6, 1.75}

See similar equations:

| 2(8-3x)-(2-7x)=12-(5-2x) | | 8*(x^2)+3*x=0 | | x-6/2=-1 | | 3(x-2)+7=2(c+5) | | Z2=4/9 | | 6x+25=10 | | 29x+21y= | | x-5/2=-15 | | 62+456+52l-6=35l+846(56+51l) | | 4/3*16 | | 10l-25-3l=4l-1 | | 4(12x+9)=48x-10 | | -0.04x^2+8.3x+4.3= | | -22-m=5+6m+9 | | -4y/-x*-3y/-1*xy/2y | | C+6=7+16 | | 11l=81-16l | | 13=5-4g | | -7p-10=20-3p | | 3a/(3a^3)-(2a^2) | | 18-5m=m+4 | | 7-5i/-4i | | 5(x-8)=50 | | 15*15+6*6=x*x | | -81-9y=81 | | 6x+5=-40 | | x+4x=180-2 | | 48+76=124 | | -5-10k=85 | | x-(-9.9)=7.9 | | 6x-31=0 | | 188=108-x |

Equations solver categories