4x^2-17x+20=2x+8

Simple and best practice solution for 4x^2-17x+20=2x+8 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^2-17x+20=2x+8 equation: 


Simplifying
4x2 + -17x + 20 = 2x + 8

Reorder the terms:
20 + -17x + 4x2 = 2x + 8

Reorder the terms:
20 + -17x + 4x2 = 8 + 2x

Solving
20 + -17x + 4x2 = 8 + 2x

Solving for variable 'x'.

Reorder the terms:
20 + -8 + -17x + -2x + 4x2 = 8 + 2x + -8 + -2x

Combine like terms: 20 + -8 = 12
12 + -17x + -2x + 4x2 = 8 + 2x + -8 + -2x

Combine like terms: -17x + -2x = -19x
12 + -19x + 4x2 = 8 + 2x + -8 + -2x

Reorder the terms:
12 + -19x + 4x2 = 8 + -8 + 2x + -2x

Combine like terms: 8 + -8 = 0
12 + -19x + 4x2 = 0 + 2x + -2x
12 + -19x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -19x + 4x2 = 0

Factor a trinomial.
(3 + -4x)(4 + -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 '(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
Solution
x = {0.75, 4}

See similar equations:

| 0.5w=12 | | x^2+11x+26=-2x+4 | | x^2-x+5=7 | | x^2-14x+11=-7x-1 | | -10+x/3 | | 36=4(x-7) | | 2*x+15=55*x | | 2*x+15*a=50 | | -0.25x+2=5 | | a*(2*c*x)+b*(2*d*x)=42 | | 5x=5-25(3/2x-3) | | 26z+3=27z-8 | | 3a(x-8)=24 | | 9+5/2 | | 5/8+11/8x=2/x^2 | | 0.5x+2+.25x=8 | | 1/4(w+4)+1/2w=10 | | 73=6x+15-2x-10 | | 11-5x+2x-13=0 | | 10d+-40=20 | | 8+4k=-10-4k | | 8x^2-4x+4=0 | | -21=3w | | x*5-20+x(-3)=50 | | 4/9(x-7)=-8 | | .666666(p-12)=-(2p-1)+7 | | 4y+5-y=2(y-3) | | 2x+4=-3x+2 | | 1.875=-11.25 | | 5x-2=-31+6x | | 5x-2=31-6x | | -17=.20n-20 |

Equations solver categories