3=x^2+8x+20

Simple and best practice solution for 3=x^2+8x+20 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 3=x^2+8x+20 equation: 


Simplifying
3 = x2 + 8x + 20

Reorder the terms:
3 = 20 + 8x + x2

Solving
3 = 20 + 8x + x2

Solving for variable 'x'.

Combine like terms: 3 + -20 = -17
-17 + -8x + -1x2 = 20 + 8x + x2 + -20 + -8x + -1x2

Reorder the terms:
-17 + -8x + -1x2 = 20 + -20 + 8x + -8x + x2 + -1x2

Combine like terms: 20 + -20 = 0
-17 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
-17 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-17 + -8x + -1x2 = 0 + x2 + -1x2
-17 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-17 + -8x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(17 + 8x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(17 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
17 + 8x + x2 = 0

Solving
17 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 8x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + 8x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 8x + x2 = 0 + -17
8x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
8x + x2 = -17

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -17 + 16

Reorder the terms:
16 + 8x + x2 = -17 + 16

Combine like terms: -17 + 16 = -1
16 + 8x + x2 = -1

Factor a perfect square on the left side:
(x + 4)(x + 4) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 10x-8=6x+2 | | f(x+3)=x^2+8x+20 | | 5X^2+6x+12=3 | | 4x-4=10-3x | | -5x+34=-2(7x+1) | | -2.1=-9.1+10.9y-8.7y | | 12t-18t-2t+3= | | sin(x)=0.45 | | 6(-4-14)=-10-19q+6 | | 0.46x+0.13=1.096 | | 18.2-0.6x=1.7+2.1 | | -1.9+2.1x-5.8x=2.2 | | 7(5c-19)-6c=12+18c+9 | | 12=2(6x-6) | | 131.27=2.15h+73.22 | | 4x-2y(1.75+X)=4 | | z^3-8z^2+22z-20=0 | | -4(2z+6)=-5z | | x=5(-3)-4 | | 3z^2+2z=0 | | 8Ln(6x)=36 | | 15.54-13.7n=-15.8n | | 12=2u+6 | | 6v-22=4(v-8) | | 24x^2-16x^3=0 | | 1.1f=0.7f-2 | | a*a-1=0 | | 4m+4m= | | a*a*a-3a+2=0 | | F(x)=2(4-x^2) | | 11.02+13.9y=-2.66+13.1y | | x-(x*.027)=160 |

Equations solver categories