4x^2-5x+3=4x+1

Simple and best practice solution for 4x^2-5x+3=4x+1 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^2-5x+3=4x+1 equation: 


Simplifying
4x2 + -5x + 3 = 4x + 1

Reorder the terms:
3 + -5x + 4x2 = 4x + 1

Reorder the terms:
3 + -5x + 4x2 = 1 + 4x

Solving
3 + -5x + 4x2 = 1 + 4x

Solving for variable 'x'.

Reorder the terms:
3 + -1 + -5x + -4x + 4x2 = 1 + 4x + -1 + -4x

Combine like terms: 3 + -1 = 2
2 + -5x + -4x + 4x2 = 1 + 4x + -1 + -4x

Combine like terms: -5x + -4x = -9x
2 + -9x + 4x2 = 1 + 4x + -1 + -4x

Reorder the terms:
2 + -9x + 4x2 = 1 + -1 + 4x + -4x

Combine like terms: 1 + -1 = 0
2 + -9x + 4x2 = 0 + 4x + -4x
2 + -9x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -9x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(2 + -1x) = 0


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

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.25, 2}

See similar equations:

| (7-3x)(7+5x)=0 | | (20x)-(12-8)= | | -9=x+39 | | 6m=-96 | | 9x-3x=9+15 | | 3x-2x=12+6 | | (-3a^2b)(6ab^4c)= | | 176000(.07/12)= | | 5-3k=12-4k | | 3x-6=12+12 | | 3x-6=12+12x | | 2*x+2=8 | | 0x=2 | | x^2-11x-2=0 | | -42=3h | | x=-2/3 | | h+4.1=9.6 | | x-7=x-3 | | 5n=1 | | 8r^2+4r+5=0 | | 0.5-3=2-0.75k | | 29x*4=47 | | 9x+18=-27 | | -8+5*x+2*(x^2)=0 | | 10x-22+10=18-20 | | 48-6x=12x-20 | | 2*x+4=8 | | 3(d-2)-(4d+1)=3d+13 | | 15=-2w-9 | | 0*x=2 | | 0.3(w+60)=0.7(w+40)+22 | | -2*x=4 |

Equations solver categories