4x^2-27x+17=-4x+2

Simple and best practice solution for 4x^2-27x+17=-4x+2 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^2-27x+17=-4x+2 equation: 


Simplifying
4x2 + -27x + 17 = -4x + 2

Reorder the terms:
17 + -27x + 4x2 = -4x + 2

Reorder the terms:
17 + -27x + 4x2 = 2 + -4x

Solving
17 + -27x + 4x2 = 2 + -4x

Solving for variable 'x'.

Reorder the terms:
17 + -2 + -27x + 4x + 4x2 = 2 + -4x + -2 + 4x

Combine like terms: 17 + -2 = 15
15 + -27x + 4x + 4x2 = 2 + -4x + -2 + 4x

Combine like terms: -27x + 4x = -23x
15 + -23x + 4x2 = 2 + -4x + -2 + 4x

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

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

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

| 0.3(x+4)=2.7x | | 3x+12=-7x-84 | | x^4-5x^3+6x^2-5x+1=0 | | 7(x-1)=3x-7 | | x-2 = 7 (11-2x)5 | | 17x+40=21x-32 | | 6x-6=2x-38 | | 12.50/2.50 | | (11w+5)(6w-5)=0 | | 7x-5=2x-50 | | 6x-15-x=3x-7 | | (y/x^(1.5))(y^(3/2)/x^(3/2)) | | 1.49+.59+.49= | | (1/3)^2 | | 16+y=3y | | x+x+x=484 | | x^3=484 | | 3(-15)*[5(-3)-7(-2)]= | | 0=-16t^2+45 | | 16=20-1/4y | | 12x^2+15x+14=0 | | x^2=1806.25 | | 1/(-27x^-6) | | 0=-16t^2-25t+150 | | C=58 | | 2/3u=-4 | | 112=-8(r-8) | | 18=n*60 | | 7(x-6)=3x-18 | | 3+x/3x=2/7 | | 2x^2+9x-3=x^2+x | | 5(4x-6)=2(10x-15) |

Equations solver categories