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

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


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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -21x + 4x = -17x
15 + -17x + 4x2 = 7 + -4x + -7 + 4x

Reorder the terms:
15 + -17x + 4x2 = 7 + -7 + -4x + 4x

Combine like terms: 7 + -7 = 0
15 + -17x + 4x2 = 0 + -4x + 4x
15 + -17x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
15 + -17x + 4x2 = 0

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


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.25, 3}

See similar equations:

| 4/w^2.5=0.5 | | 6x+35=9x+11whatisx | | (9x+6)+(-3x-10)= | | x^2+2x-28=6x+4 | | 2(4r+16)=8(2r-8) | | 9-1/2=x | | x^2-3x+7=5 | | 4(2x-1)+2(5-3x)=0 | | x+2/8=x/4+1/2 | | 1/5(2x-92)=5x | | 9(2C+5)3C=-75 | | 3(x-5)=48-4x | | 2(x+2)+2(3x-1)=42 | | 51/3+141/2 | | 300a+150b=3000 | | 4a^2-9a=90 | | 3x+10=3(x+1)+7 | | 9.6=28.8 | | 4x(9x-10)= | | x^2+4x+17=-5x-1 | | 84-3x=15x+18 | | -45=3f+2f | | 3m^2-5=0 | | 28c^2+16c-44= | | 15=8(B-1)+9 | | 5/8/3/10 | | -2(9x-4y)=3 | | 6(x-6)+4=4(2x-3)-1 | | R^2=-4+4r | | 3x+7+5x+3=180 | | -2=k^7+6 | | x/2+4x+4=10 |

Equations solver categories