13860=x^2+5x+60

Simple and best practice solution for 13860=x^2+5x+60 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 13860=x^2+5x+60 equation: 


Simplifying
13860 = x2 + 5x + 60

Reorder the terms:
13860 = 60 + 5x + x2

Solving
13860 = 60 + 5x + x2

Solving for variable 'x'.

Combine like terms: 13860 + -60 = 13800
13800 + -5x + -1x2 = 60 + 5x + x2 + -60 + -5x + -1x2

Reorder the terms:
13800 + -5x + -1x2 = 60 + -60 + 5x + -5x + x2 + -1x2

Combine like terms: 60 + -60 = 0
13800 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
13800 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
13800 + -5x + -1x2 = 0 + x2 + -1x2
13800 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
13800 + -5x + -1x2 = 0

Factor a trinomial.
(115 + -1x)(120 + x) = 0


Subproblem 1
Set the factor '(115 + -1x)' equal to zero and attempt to solve:

Simplifying
115 + -1x = 0

Solving
115 + -1x = 0

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

Add '-115' to each side of the equation.
115 + -115 + -1x = 0 + -115

Combine like terms: 115 + -115 = 0
0 + -1x = 0 + -115
-1x = 0 + -115

Combine like terms: 0 + -115 = -115
-1x = -115

Divide each side by '-1'.
x = 115

Simplifying
x = 115

Subproblem 2
Set the factor '(120 + x)' equal to zero and attempt to solve:

Simplifying
120 + x = 0

Solving
120 + x = 0

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

Add '-120' to each side of the equation.
120 + -120 + x = 0 + -120

Combine like terms: 120 + -120 = 0
0 + x = 0 + -120
x = 0 + -120

Combine like terms: 0 + -120 = -120
x = -120

Simplifying
x = -120
Solution
x = {115, -120}

See similar equations:

| psqaured+2p-63=0 | | 2x-4=-6x+84 | | x+6+(-2)=9 | | 6(x+3)=x+3 | | -7(9n+2)=-(6n-3)-7 | | 4x-20.65=3.35 | | x^2+64x-132=0 | | 8(2x-5)-2(x-2)=5(x+7)-4(x-8) | | 4x-20.65=10.05 | | 1/7(49-14x)=-1/6(12x-42) | | -x+2z=-5 | | x+(-5)-(-2)=9 | | b+5=55 | | 2x+y=10+3y | | 5x-9=8x-10 | | -3(2x-5)=7-4x | | 25=x-13+3 | | 2/3(36) | | 2-y=x-2 | | q^3+64r^3= | | 6-4t=3+2r-5 | | 3logx=8log | | 104/8= | | 3+8+x=23 | | 1.4+x=0.83 | | 10t-22=5(-2t+3) | | g/7=-8 | | x-2z=5 | | s+599.01=686.96 | | 50x=95+36x | | 7x/12/2x=7/24 | | x=6.75+-0.75(5) |

Equations solver categories