x^2+3x+13=9x+5

Simple and best practice solution for x^2+3x+13=9x+5 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 x^2+3x+13=9x+5 equation:


Simplifying
x2 + 3x + 13 = 9x + 5

Reorder the terms:
13 + 3x + x2 = 9x + 5

Reorder the terms:
13 + 3x + x2 = 5 + 9x

Solving
13 + 3x + x2 = 5 + 9x

Solving for variable 'x'.

Reorder the terms:
13 + -5 + 3x + -9x + x2 = 5 + 9x + -5 + -9x

Combine like terms: 13 + -5 = 8
8 + 3x + -9x + x2 = 5 + 9x + -5 + -9x

Combine like terms: 3x + -9x = -6x
8 + -6x + x2 = 5 + 9x + -5 + -9x

Reorder the terms:
8 + -6x + x2 = 5 + -5 + 9x + -9x

Combine like terms: 5 + -5 = 0
8 + -6x + x2 = 0 + 9x + -9x
8 + -6x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -6x + x2 = 0

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


Subproblem 1
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

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 = {2, 4}

See similar equations:

| -14m+26=-15(m-1)-1 | | x^2+10x+5=7x+3 | | y=3*x | | x^2-10x-7=-7x-3 | | 20+4x=50 | | 9x+17=4x+2 | | h*j*j=40353607 | | 3x^2+5x-90=0 | | x+y*3x=616 | | X-9b=3 | | 19-3x=41-4x | | 2-5x-7x=-130 | | 8c-2=-9+7x | | x^2-5x-6=8 | | 3a+12=-7a-8 | | 4x^2-10x-6=x^2+2 | | 0=17x^2+55x+180 | | 7x-6=43-3x | | y-4/3=-6 | | dx+e^3x*dy=0 | | u^5-16=0 | | 4x+3=38-x | | ((1.04+-1.6y)*50)+80y=52 | | m+7/5=3 | | 50x+80y=52 | | 2-3q=2q+17 | | 9*(3x-7)= | | 4+x+5x=-8 | | 3x+5=-4x+19 | | (3p-2)=(p-5)(9p+4) | | y/5+4=-8 | | 5=30-2x |

Equations solver categories