x^2+13x+12=5x-3

Simple and best practice solution for x^2+13x+12=5x-3 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+13x+12=5x-3 equation:


Simplifying
x2 + 13x + 12 = 5x + -3

Reorder the terms:
12 + 13x + x2 = 5x + -3

Reorder the terms:
12 + 13x + x2 = -3 + 5x

Solving
12 + 13x + x2 = -3 + 5x

Solving for variable 'x'.

Reorder the terms:
12 + 3 + 13x + -5x + x2 = -3 + 5x + 3 + -5x

Combine like terms: 12 + 3 = 15
15 + 13x + -5x + x2 = -3 + 5x + 3 + -5x

Combine like terms: 13x + -5x = 8x
15 + 8x + x2 = -3 + 5x + 3 + -5x

Reorder the terms:
15 + 8x + x2 = -3 + 3 + 5x + -5x

Combine like terms: -3 + 3 = 0
15 + 8x + x2 = 0 + 5x + -5x
15 + 8x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
15 + 8x + x2 = 0

Factor a trinomial.
(5 + x)(3 + x) = 0

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {-5, -3}

See similar equations:

| 7(k+2)-(6k-6)=-4 | | (p+4)(x-20)=480 | | 4z^2+21z-18=0 | | 21-5x=9-8x | | 21-5x=9-8x | | 9+(-18)+4= | | p+16=20 | | 16+2+(-7)= | | 2(x+3)-5=x+2 | | 3x+2x-8=32 | | -15+(-3)+8= | | 56+12=4n | | 10+(-6)+34= | | D+0.7=0.9 | | 2x=20-5y | | 49m-6=50m+30 | | 9+(-14)= | | 7x-3=(2x+6) | | 75+100= | | 18+(-12)= | | -23+(-14)= | | -0.2x-1.8x+6=30 | | 13g+10-3g^2=0 | | 43-2(6-3)=6 | | 14+13= | | 27k-90=21k+12 | | (X+2)+X+(X-2)=44 | | 8(y-1)=5y-17 | | 4x-5+1= | | 4x(7)=108 | | 8x-2(x-1)=2(3x-1) | | (x^2-1)x+1=0 |

Equations solver categories