2x^2+20x+100=-2

Simple and best practice solution for 2x^2+20x+100=-2 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 2x^2+20x+100=-2 equation: 


Simplifying
2x2 + 20x + 100 = -2

Reorder the terms:
100 + 20x + 2x2 = -2

Solving
100 + 20x + 2x2 = -2

Solving for variable 'x'.

Reorder the terms:
100 + 2 + 20x + 2x2 = -2 + 2

Combine like terms: 100 + 2 = 102
102 + 20x + 2x2 = -2 + 2

Combine like terms: -2 + 2 = 0
102 + 20x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(51 + 10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(51 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
51 + 10x + x2 = 0

Solving
51 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-51' to each side of the equation.
51 + 10x + -51 + x2 = 0 + -51

Reorder the terms:
51 + -51 + 10x + x2 = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 10x + x2 = 0 + -51
10x + x2 = 0 + -51

Combine like terms: 0 + -51 = -51
10x + x2 = -51

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -51 + 25

Reorder the terms:
25 + 10x + x2 = -51 + 25

Combine like terms: -51 + 25 = -26
25 + 10x + x2 = -26

Factor a perfect square on the left side:
(x + 5)(x + 5) = -26

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:

| 5x+10-4x+32=60 | | 23=x/3+19 | | (5+2i)(3-4i)= | | (7x^2-8x-1)+(2x^2-3x+7)-(x^2-3x-5)= | | 14=7x+35 | | a^2-13ab+42b^2=0 | | c^3-7c=0 | | (3x^3+x)(4x^4-2x^2+1)= | | tan(xsin(x))=1.2 | | x+9=4.5 | | 2m^2+10m+6mn+n^2+6n=0 | | 10x+20(x-11)=410 | | 3a^2-25a+42=0 | | -15n+16=86-29m | | 16x^2-80x-3=0 | | y=4(3)+17 | | (x+9)x(-2)=8 | | -4(-4v-w)-4(3w-3v)= | | 5.3x-1.08=1.06-5.4 | | 2x*x-22=28 | | 5/x+7/4=-9/x | | 7m-189-36m+144=42 | | (x+9)x-2=-8 | | 5K^2-23K+24=0 | | 2c+2(c-6)= | | X=3y-11y | | x*x-24=57 | | h=-16t^2+12t+1000 | | 2(5/2)-2(3/2) | | X=3y-11whatisy | | 2(x-4)-4(x-2x-6)=100 | | 26x+175= |

Equations solver categories