4x^2-25x+21=-4x+1

Simple and best practice solution for 4x^2-25x+21=-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^2-25x+21=-4x+1 equation: 


Simplifying
4x2 + -25x + 21 = -4x + 1

Reorder the terms:
21 + -25x + 4x2 = -4x + 1

Reorder the terms:
21 + -25x + 4x2 = 1 + -4x

Solving
21 + -25x + 4x2 = 1 + -4x

Solving for variable 'x'.

Reorder the terms:
21 + -1 + -25x + 4x + 4x2 = 1 + -4x + -1 + 4x

Combine like terms: 21 + -1 = 20
20 + -25x + 4x + 4x2 = 1 + -4x + -1 + 4x

Combine like terms: -25x + 4x = -21x
20 + -21x + 4x2 = 1 + -4x + -1 + 4x

Reorder the terms:
20 + -21x + 4x2 = 1 + -1 + -4x + 4x

Combine like terms: 1 + -1 = 0
20 + -21x + 4x2 = 0 + -4x + 4x
20 + -21x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
20 + -21x + 4x2 = 0

Factor a trinomial.
(5 + -4x)(4 + -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 '(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 = {1.25, 4}

See similar equations:

| x^3+x^2-x+1=0 | | 2x-(x+2)=3x-6 | | 8.8=m-13.4 | | 2x^4-162=0 | | 91=1/2*7(12+B) | | -1.55488*16.4=x | | 3(x-3)=6x-6 | | 4x^2+4x+100=0 | | 109-5x=40x+24 | | -14.896=r+11.704 | | 12-9x=207-44x | | x+2.1x+3x=1084815.66 | | 2h+h+6=186 | | 12-9x=207x-44x | | 4+X+1+5X+1= | | x+2.1x+3x= | | 16x+2=98 | | 8x=2x+30 | | 6-3x*-1=12 | | -5W+51=6 | | 2.78947*9.5=x | | 1x=2x+y | | 16t^2-1=0 | | (9-w)(3w-8)=0 | | 0.6x-4.2=0.6 | | 3+4x-11=-32 | | 5(4x+3)-5=20x+10 | | x^2+12x+28=1 | | 20=9+11 | | -24+3y=3y-24 | | (.01)(2x-3)+(.01)(x-4)=4 | | x^2-10x-75= |

Equations solver categories