4x^2-19x+20=4x+5

Simple and best practice solution for 4x^2-19x+20=4x+5 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^2-19x+20=4x+5 equation: 


Simplifying
4x2 + -19x + 20 = 4x + 5

Reorder the terms:
20 + -19x + 4x2 = 4x + 5

Reorder the terms:
20 + -19x + 4x2 = 5 + 4x

Solving
20 + -19x + 4x2 = 5 + 4x

Solving for variable 'x'.

Reorder the terms:
20 + -5 + -19x + -4x + 4x2 = 5 + 4x + -5 + -4x

Combine like terms: 20 + -5 = 15
15 + -19x + -4x + 4x2 = 5 + 4x + -5 + -4x

Combine like terms: -19x + -4x = -23x
15 + -23x + 4x2 = 5 + 4x + -5 + -4x

Reorder the terms:
15 + -23x + 4x2 = 5 + -5 + 4x + -4x

Combine like terms: 5 + -5 = 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:

| 46-2x=8 | | 6x+6=122-10x | | 11x+3=4(3x+4) | | -x^5-x^3+4x=0 | | 11x+3=4x(3x+4) | | -49-7x=9x+17 | | D-8=12 | | 20=3w-1 | | 4k-9k=10j | | 12x(3x-3)-6x(7x-9)= | | 4(2x+3)=7x+4 | | B(b-7)= | | x^2+18x+19=8x-5 | | 4(10d-4)=64 | | x^2+4x+9=6 | | 10(d-4)=60 | | 3x+2x=4x-8 | | 5(3x+3)=30 | | 2(2m-1)=18 | | 5(m-1)=30 | | 3(5a+2)=36 | | 4(2x)-(x+5)= | | 11u-88=3u | | 3(4x-1)=21 | | 0.5(9x+18)=-1.5(5x)-2(3x+4.5) | | 3x^3+26x^2+35x=0 | | 7w=5w+16 | | 3(3y+5)=5y+25 | | graphy=7+10x | | (x-6)(3x+4)=0 | | y=7+10x | | (1/2)(2x-10)=4 |

Equations solver categories