4x^2-21x+20=-2x+8

Simple and best practice solution for 4x^2-21x+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^2-21x+20=-2x+8 equation: 


Simplifying
4x2 + -21x + 20 = -2x + 8

Reorder the terms:
20 + -21x + 4x2 = -2x + 8

Reorder the terms:
20 + -21x + 4x2 = 8 + -2x

Solving
20 + -21x + 4x2 = 8 + -2x

Solving for variable 'x'.

Reorder the terms:
20 + -8 + -21x + 2x + 4x2 = 8 + -2x + -8 + 2x

Combine like terms: 20 + -8 = 12
12 + -21x + 2x + 4x2 = 8 + -2x + -8 + 2x

Combine like terms: -21x + 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:

| 6/22=61/d | | x^2+2x-7=5x-3 | | 0=15.52+5a*15.0544-22 | | 8/x-7/w | | 7z-5=10 | | (7-u)(5u+6)=0 | | 7(x-3)=3x+3 | | Xy+yx=6749 | | (3p^4v^-2/s^4)^-2 | | (q-8)*6=54 | | (e+3)*6=48 | | 3x+5x=2x-36 | | y=x^3-1.5x^2-6x-1.9 | | 10x+15x=1000 | | -6x^2-16x=0 | | 2y+15(y-8)=7y-2(y-10) | | 25-2x=7-8x | | 0=X^2-x^4 | | 28=10+3 | | 5U-u=u-s | | Y=4+10x | | -8(-2+7)=-128 | | -8(0+7)=-128 | | -8(9+7)=-128 | | -8(6+7)=-128 | | -5-5=63-3 | | 1/2•h-16=5/8•h | | 9p+5=8p+13 | | 0.113=3*x/4.242 | | Y+31=13 | | -49=6(1)-7 | | 2x/614 |

Equations solver categories