0=x^2+10x+16

Simple and best practice solution for 0=x^2+10x+16 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 0=x^2+10x+16 equation: 


Simplifying
0 = x2 + 10x + 16

Reorder the terms:
0 = 16 + 10x + x2

Solving
0 = 16 + 10x + x2

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + -10x + -1x2 = 16 + 10x + x2 + -16 + -10x + -1x2

Reorder the terms:
-16 + -10x + -1x2 = 16 + -16 + 10x + -10x + x2 + -1x2

Combine like terms: 16 + -16 = 0
-16 + -10x + -1x2 = 0 + 10x + -10x + x2 + -1x2
-16 + -10x + -1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
-16 + -10x + -1x2 = 0 + x2 + -1x2
-16 + -10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + -10x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 10x + x2) = 0

Factor a trinomial.
-1((8 + x)(2 + x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-8, -2}

See similar equations:

| 5x^2+3x-9=0 | | 2(m-3)=(m+4)(m-6) | | z-33=-36 | | m+48=2m-16 | | 0=x^2-16 | | y^3-8y^2-9y=0 | | -2x+6=28 | | 3x^2-8x-71=0 | | (x+1)(x+8)+12=0 | | 4+1x=3x-6 | | 0=x^2+6x+9 | | 20s^2-13s=15 | | 4r+3=27-2r | | 5x^2-8x-91=0 | | 6(3x+5)=48 | | 9(x-3)=-3(2x-4) | | p=2(97)+2(99) | | 5(6x-4)=130 | | 9+6x=5x+15 | | 4x+7.5y=23.5 | | 0=(5-x)(x-2) | | 3(x+1.1)=2x+7.4 | | W^2+W-30=0 | | -(7y+3)-(-6y-4)=-6 | | t+47=6t-19 | | 6x+1=6(x-1) | | 16=x+p | | 3(t-3)+7t=5(2t+5)-11 | | y+96=4y-10 | | 2x^2-11x-90=0 | | 14x+9-3=13x-2 | | 12=-4(3x+1)+13x |

Equations solver categories