4x^2-15x+30=4x+9

Simple and best practice solution for 4x^2-15x+30=4x+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^2-15x+30=4x+9 equation: 


Simplifying
4x2 + -15x + 30 = 4x + 9

Reorder the terms:
30 + -15x + 4x2 = 4x + 9

Reorder the terms:
30 + -15x + 4x2 = 9 + 4x

Solving
30 + -15x + 4x2 = 9 + 4x

Solving for variable 'x'.

Reorder the terms:
30 + -9 + -15x + -4x + 4x2 = 9 + 4x + -9 + -4x

Combine like terms: 30 + -9 = 21
21 + -15x + -4x + 4x2 = 9 + 4x + -9 + -4x

Combine like terms: -15x + -4x = -19x
21 + -19x + 4x2 = 9 + 4x + -9 + -4x

Reorder the terms:
21 + -19x + 4x2 = 9 + -9 + 4x + -4x

Combine like terms: 9 + -9 = 0
21 + -19x + 4x2 = 0 + 4x + -4x
21 + -19x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
21 + -19x + 4x2 = 0

Factor a trinomial.
(7 + -4x)(3 + -1x) = 0


Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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 = {1.75, 3}

See similar equations:

| 2(5x+1)=3x-8x | | x-7+3x-3=90 | | 4=5(y-4)+3y | | .5x+8.75=13.25 | | 5x+20-3x=8+5x-6 | | .4x+1=.6x-6 | | 4(5-t)-(3-2t)=14 | | 6x+7x-16=-81 | | a=2(4)+5(a-4) | | -22=5(2y-3) | | 9x+3x^2=2430 | | 12-x-8=11 | | 2(3x+9)=-13+1 | | 12x+32=4x+8 | | -6y+4=4(2y+2) | | 10z-9z+4=16 | | 81x=729whatisx | | t^2+2t+11=0 | | 2x^2-16x=1768 | | y=7-[x] | | 2x^2-16x+25=7 | | 10-3(2x+5)=1 | | 10-(2z-6)=5-3z | | 2r-4r=29 | | 4(8+2)+2=14 | | -3.6-3y-7.7-y=-3y-10.7 | | 3m-6m=5m+8 | | x+13+2x+7+5x=180 | | 10-3(2x+5)=8 | | -(2x-3)-(2x-5)+6=-5(x-1)-(2x+6)+3 | | 9+3x=4x+0 | | 8-(2z-6)=8-3z |

Equations solver categories