4x^2-21x+22=2x+7

Simple and best practice solution for 4x^2-21x+22=2x+7 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^2-21x+22=2x+7 equation: 


Simplifying
4x2 + -21x + 22 = 2x + 7

Reorder the terms:
22 + -21x + 4x2 = 2x + 7

Reorder the terms:
22 + -21x + 4x2 = 7 + 2x

Solving
22 + -21x + 4x2 = 7 + 2x

Solving for variable 'x'.

Reorder the terms:
22 + -7 + -21x + -2x + 4x2 = 7 + 2x + -7 + -2x

Combine like terms: 22 + -7 = 15
15 + -21x + -2x + 4x2 = 7 + 2x + -7 + -2x

Combine like terms: -21x + -2x = -23x
15 + -23x + 4x2 = 7 + 2x + -7 + -2x

Reorder the terms:
15 + -23x + 4x2 = 7 + -7 + 2x + -2x

Combine like terms: 7 + -7 = 0
15 + -23x + 4x2 = 0 + 2x + -2x
15 + -23x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -23x + 4x2 = 0

Factor a trinomial.
(3 + -4x)(5 + -1x) = 0


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0.75, 5}

See similar equations:

| 20+8x=10+10x | | 2x+62=6x+26 | | (x^5)(x^7)(x^0)= | | x/8+7=x/6+5 | | 2.5x=1342.5 | | 8*15=x | | 1/2(x-1)+3/2(x+1)=9 | | 5x-ray(3x+5)=32 | | x/7=0 | | =(5x+4w-4)(x-7w) | | 6x+34=16x+86 | | 1/4+2/6 | | x/4+3=0 | | 2x-4x=24 | | x/5+4=0 | | x/4-x/2=8 | | x/6+5=0 | | x/8+7=0 | | n^2+4n-12=64 | | 5x^3+5x^2+12x=0 | | (X+5)=1-3x | | n^2+4n-76=0 | | 4x^2+9x-5=0 | | 3000-12x=4000-160x | | 4(-6+5)=28 | | 3(3x+4)=-3(x-5) | | 267-2x=43x+22 | | 7x+0=0 | | 76-6x=12x+24 | | 3(2x-5)+3x=-1 | | 6x/27=43 | | 9/-3 |

Equations solver categories