4x^2-5x+11=4x+9

Simple and best practice solution for 4x^2-5x+11=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^2-5x+11=4x+9 equation: 


Simplifying
4x2 + -5x + 11 = 4x + 9

Reorder the terms:
11 + -5x + 4x2 = 4x + 9

Reorder the terms:
11 + -5x + 4x2 = 9 + 4x

Solving
11 + -5x + 4x2 = 9 + 4x

Solving for variable 'x'.

Reorder the terms:
11 + -9 + -5x + -4x + 4x2 = 9 + 4x + -9 + -4x

Combine like terms: 11 + -9 = 2
2 + -5x + -4x + 4x2 = 9 + 4x + -9 + -4x

Combine like terms: -5x + -4x = -9x
2 + -9x + 4x2 = 9 + 4x + -9 + -4x

Reorder the terms:
2 + -9x + 4x2 = 9 + -9 + 4x + -4x

Combine like terms: 9 + -9 = 0
2 + -9x + 4x2 = 0 + 4x + -4x
2 + -9x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -9x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(2 + -1x) = 0


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

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.25, 2}

See similar equations:

| 12x-6=9x+12 | | 6(x+1)-10=29-3 | | 3x+9y=5 | | 138-5x=6x-17 | | 138-5x=6x+15 | | 12-8m=60 | | 3r+3=633 | | 2y+5=21 | | 9(x-1)=81 | | 109-3x=15x+23 | | 5-7x=15-14x | | 14*x+(3*x+2)*(x-5)=0 | | 3(x-4)=4(3x+6) | | 2(X-8)=5 | | 2x^2+12x-3=0 | | 7(x+5)=42 | | 184-5x=40x+24 | | 11-8x=61-22x | | 6x^2-48x+12=0 | | 115-3x=6x+7 | | 2x+19=3x+3 | | 30a+18= | | 102-5x=22x+24 | | 5-3x=67-5x | | 50+2= | | 5-10x=37-17x | | 7(2x+4)=30 | | 2(3x+9)=6 | | -25-4x=11-8 | | 4(2x-1)=44 | | 5(4x+2)=30 | | 5(2x+2)=50 |

Equations solver categories