4x+12=x^2+5x

Simple and best practice solution for 4x+12=x^2+5x 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+12=x^2+5x equation:


Simplifying
4x + 12 = x2 + 5x

Reorder the terms:
12 + 4x = x2 + 5x

Reorder the terms:
12 + 4x = 5x + x2

Solving
12 + 4x = 5x + x2

Solving for variable 'x'.

Combine like terms: 4x + -5x = -1x
12 + -1x + -1x2 = 5x + x2 + -5x + -1x2

Reorder the terms:
12 + -1x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
12 + -1x + -1x2 = 0 + x2 + -1x2
12 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -1x + -1x2 = 0

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

Subproblem 1

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

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {3, -4}

See similar equations:

| 2.5-.25x=-3 | | x-0.85x=105 | | 4x+3=99 | | x^2-x-2+x^2-9= | | 28x-12y-28x-12y=0 | | 5(2y+7)=29 | | 5x+4=6y+5 | | 5x+4=6x+5 | | 2x+y+z=14 | | x+y+3z=15 | | x+y+32=15 | | (x-7)2=20 | | 16y^3+6xy= | | I=104x-207516 | | 50+2n=144 | | an=(1-1m) | | 2x=-(-7x+6) | | (6-y)(y+2)= | | 5(5x+2)=135 | | an=n-1n+2 | | -6/7t=1/2 | | 1.4+2.3-36= | | x-iy=1+ix | | 1.4+2.3= | | 5m-6=10 | | 8x-x=7-35 | | 3(3x+4)=30 | | 65+130x=1495 | | -2.81n+0.25=-8.2 | | 5z+4(6-z)=-(z-1)+19 | | 10-8x+x=45 | | 6k^3+10k^2-56k= |

Equations solver categories