4x^2-21x+19=-4x+1

Simple and best practice solution for 4x^2-21x+19=-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^2-21x+19=-4x+1 equation: 


Simplifying
4x2 + -21x + 19 = -4x + 1

Reorder the terms:
19 + -21x + 4x2 = -4x + 1

Reorder the terms:
19 + -21x + 4x2 = 1 + -4x

Solving
19 + -21x + 4x2 = 1 + -4x

Solving for variable 'x'.

Reorder the terms:
19 + -1 + -21x + 4x + 4x2 = 1 + -4x + -1 + 4x

Combine like terms: 19 + -1 = 18
18 + -21x + 4x + 4x2 = 1 + -4x + -1 + 4x

Combine like terms: -21x + 4x = -17x
18 + -17x + 4x2 = 1 + -4x + -1 + 4x

Reorder the terms:
18 + -17x + 4x2 = 1 + -1 + -4x + 4x

Combine like terms: 1 + -1 = 0
18 + -17x + 4x2 = 0 + -4x + 4x
18 + -17x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
18 + -17x + 4x2 = 0

Factor a trinomial.
(2 + -1x)(9 + -4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

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

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

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {2, 2.25}

See similar equations:

| 5X-2=15X-102 | | 5X+19=12X-65 | | 3x+48=7x+12 | | y+5=12 | | 2x+93=6x-11 | | 43y-x=15 | | 15y-43z=x | | 6x^2+11x-35=0 | | 43z-15y=x | | z-y=x | | 5x-3=2x+24 | | 102=p-(130) | | 102=p(-130) | | x^2+(a-3)x-3a=0 | | (a+1)x^2+(3a-1)x+4=0 | | x^2-8x+27=5x-3 | | x^2-3x-11=7 | | ax+x+3ax-x+4=0 | | x^2-9x+18=0 | | 8x-7=-3x+11 | | 2x=x+17 | | 40-6x=12x+20 | | 11-10x=216-45x | | -62-8x=9x+23 | | 3x+5=-61-8x | | p-(-13)=10 | | x^4-6x^3+12x^2-10=0 | | 101-6x=2x+13 | | 52-5x=7x+12 | | 7+8x=70+x | | 9x-23=3x+1 | | -x^2-2x+15=0 |

Equations solver categories