4x^2-27x+36=-6x+9

Simple and best practice solution for 4x^2-27x+36=-6x+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+36=-6x+9 equation: 


Simplifying
4x2 + -27x + 36 = -6x + 9

Reorder the terms:
36 + -27x + 4x2 = -6x + 9

Reorder the terms:
36 + -27x + 4x2 = 9 + -6x

Solving
36 + -27x + 4x2 = 9 + -6x

Solving for variable 'x'.

Reorder the terms:
36 + -9 + -27x + 6x + 4x2 = 9 + -6x + -9 + 6x

Combine like terms: 36 + -9 = 27
27 + -27x + 6x + 4x2 = 9 + -6x + -9 + 6x

Combine like terms: -27x + 6x = -21x
27 + -21x + 4x2 = 9 + -6x + -9 + 6x

Reorder the terms:
27 + -21x + 4x2 = 9 + -9 + -6x + 6x

Combine like terms: 9 + -9 = 0
27 + -21x + 4x2 = 0 + -6x + 6x
27 + -21x + 4x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
27 + -21x + 4x2 = 0

Factor a trinomial.
(9 + -4x)(3 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {2.25, 3}

See similar equations:

| 7=8m-9m | | log(4-10)(36)=x | | log(4+2)(36)=x | | 23/4/17/4 | | log(4+4)(36)=x | | 3x-31x=6 | | log(4-4)(36)=x | | (3X)+3=30 | | log(4-4)(36)= | | (f+g)(3)= | | (405x^2+12500-3900x)= | | (-37)-(-60)= | | 2.3x-5=1.5x-3 | | x^2+13x+3=8x-1 | | -2(3X-9)=0 | | 2.6k=4k-(3.5) | | -2(2y-6)=-4 | | x^2+10x+9=4x+1 | | 10a-3=27 | | 2(2x-2)=-x+14 | | 5/(3x+6)=2/(9x) | | .3(3w+45)=0.9w+13.5 | | 7y+33=3y-3 | | (2x+10)/2=-43 | | -3x+9=-3(x-3) | | 3[4(x-2)+x]=21 | | 2(4z+6)=6z+16 | | (f+g)(-2)= | | 10a+3=27 | | 49x^5y^3-3xy^8=8 | | y+1( 9+24)-28=21 | | 24-3x=-6x+22 |

Equations solver categories