4x^2-27x+21=-8x+9

Simple and best practice solution for 4x^2-27x+21=-8x+9 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^2-27x+21=-8x+9 equation: 


Simplifying
4x2 + -27x + 21 = -8x + 9

Reorder the terms:
21 + -27x + 4x2 = -8x + 9

Reorder the terms:
21 + -27x + 4x2 = 9 + -8x

Solving
21 + -27x + 4x2 = 9 + -8x

Solving for variable 'x'.

Reorder the terms:
21 + -9 + -27x + 8x + 4x2 = 9 + -8x + -9 + 8x

Combine like terms: 21 + -9 = 12
12 + -27x + 8x + 4x2 = 9 + -8x + -9 + 8x

Combine like terms: -27x + 8x = -19x
12 + -19x + 4x2 = 9 + -8x + -9 + 8x

Reorder the terms:
12 + -19x + 4x2 = 9 + -9 + -8x + 8x

Combine like terms: 9 + -9 = 0
12 + -19x + 4x2 = 0 + -8x + 8x
12 + -19x + 4x2 = -8x + 8x

Combine like terms: -8x + 8x = 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:

| 4x+-6x=5 | | 7x-8=x | | 10x-8=x | | -7(x-5)=-5x+37 | | 10x-15=x | | 5z=-20 | | 7x-15=x | | 6n^2-12n-210=0 | | (4.6)2-2*3.8= | | 1x=10*5 | | -9u+30=2(u+4) | | x^2-8x=-4x-3 | | -3(3b+4)+(10b-1)=0 | | 15-5m^2-3r^2+m^2r^2=0 | | x^2+2x-2=1 | | .7q-17=-.3q-4.5 | | -6(w+3)=9w-33 | | -6y+5=-7y+3 | | 3x+5y-y= | | s-31=-24 | | -34=4(v-4)+5v | | 3-31=-24 | | 2x=2x-40 | | 2x-50=2x-40 | | 4=6(u+3)-8u | | 2x-5=x-110 | | y^2=-3x | | 123-5x=31x+23 | | 12-8x=107-43x | | Y^2+12y+35=0 | | 12-8=107-43x | | 112-5x=2x+4 |

Equations solver categories