4x^2-17x+36=4x+9

Simple and best practice solution for 4x^2-17x+36=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^2-17x+36=4x+9 equation: 


Simplifying
4x2 + -17x + 36 = 4x + 9

Reorder the terms:
36 + -17x + 4x2 = 4x + 9

Reorder the terms:
36 + -17x + 4x2 = 9 + 4x

Solving
36 + -17x + 4x2 = 9 + 4x

Solving for variable 'x'.

Reorder the terms:
36 + -9 + -17x + -4x + 4x2 = 9 + 4x + -9 + -4x

Combine like terms: 36 + -9 = 27
27 + -17x + -4x + 4x2 = 9 + 4x + -9 + -4x

Combine like terms: -17x + -4x = -21x
27 + -21x + 4x2 = 9 + 4x + -9 + -4x

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

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

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

| 2x-x=19 | | 85+95+80+x=90 | | log(x)+log(x+21)=2 | | -4b-6+8b-3= | | 4d+4d= | | 5x^2-14x=8+0 | | 3x^4-12x^2+9=0 | | x^2+16x+5=6x-4 | | 2h+12=64 | | 3x+5m+16=0 | | x^2+5x+13=7 | | (n+2)8=48 | | 8.3a+15=114.6 | | 7h-30=40 | | 4u+4=8(u-2) | | x^2-48x+570=x | | 33.333(6x-12)=2 | | 6(y+7)=-7(2y-8)+2y | | P^2+8P-6=0 | | 4a+48=16 | | 10ax-2ax+12x-2a+(-2x)= | | (n-9)5=35 | | 5(0)+4y=9 | | -6(-5x+4)-8x=7(x-4)-6 | | y=sin(x)ln(6x) | | 3xy+13xy-12xy= | | (n+3)5=40 | | .99x-.45=10 | | 5(1)+4y=9 | | t*6-8=14 | | 5+13t-4=8t+8-2t | | g(x)=-0.5x |

Equations solver categories