100+20x+x^2=9900

Simple and best practice solution for 100+20x+x^2=9900 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 100+20x+x^2=9900 equation:


Simplifying
100 + 20x + x2 = 9900

Solving
100 + 20x + x2 = 9900

Solving for variable 'x'.

Reorder the terms:
100 + -9900 + 20x + x2 = 9900 + -9900

Combine like terms: 100 + -9900 = -9800
-9800 + 20x + x2 = 9900 + -9900

Combine like terms: 9900 + -9900 = 0
-9800 + 20x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '9800' to each side of the equation.
-9800 + 20x + 9800 + x2 = 0 + 9800

Reorder the terms:
-9800 + 9800 + 20x + x2 = 0 + 9800

Combine like terms: -9800 + 9800 = 0
0 + 20x + x2 = 0 + 9800
20x + x2 = 0 + 9800

Combine like terms: 0 + 9800 = 9800
20x + x2 = 9800

The x term is 20x.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20x + 100 + x2 = 9800 + 100

Reorder the terms:
100 + 20x + x2 = 9800 + 100

Combine like terms: 9800 + 100 = 9900
100 + 20x + x2 = 9900

Factor a perfect square on the left side:
(x + 10)(x + 10) = 9900

Calculate the square root of the right side: 99.498743711

Break this problem into two subproblems by setting 
(x + 10) equal to 99.498743711 and -99.498743711.

Subproblem 1

x + 10 = 99.498743711 Simplifying x + 10 = 99.498743711 Reorder the terms: 10 + x = 99.498743711 Solving 10 + x = 99.498743711 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 99.498743711 + -10 Combine like terms: 10 + -10 = 0 0 + x = 99.498743711 + -10 x = 99.498743711 + -10 Combine like terms: 99.498743711 + -10 = 89.498743711 x = 89.498743711 Simplifying x = 89.498743711

Subproblem 2

x + 10 = -99.498743711 Simplifying x + 10 = -99.498743711 Reorder the terms: 10 + x = -99.498743711 Solving 10 + x = -99.498743711 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = -99.498743711 + -10 Combine like terms: 10 + -10 = 0 0 + x = -99.498743711 + -10 x = -99.498743711 + -10 Combine like terms: -99.498743711 + -10 = -109.498743711 x = -109.498743711 Simplifying x = -109.498743711

Solution

The solution to the problem is based on the solutions from the subproblems. x = {89.498743711, -109.498743711}

See similar equations:

| 13-42=-16 | | 8x-9=2x-11 | | a-16=16 | | 1/28=1/(7x) | | 60x+30y=150 | | 6(u+3)-8u=36 | | (x+3)(x-5)=(2x+4)(x-5) | | 100+20x+X^3=9900 | | lny=19x+lnC | | x+y=13350 | | 20=20-16t^2+32t | | -4(v-2)=-4(4-8)-8v | | 10x^4-5x^3= | | 2ln(3x+8)=12 | | t-68=24 | | -4(4-2)=-4(4-8) | | 27+c=25 | | .09x+.12x=16500 | | 7z+6-2(z+3)= | | 1/3Lnx=ln7 | | H(20t)=20-16t^2+32t | | 36=j-12 | | .09x+.12y=16500 | | (e^4x)+(3e^2x)-40=0 | | -20t=-16t^2+32t | | 16^3/4^6 | | 2-3(x+5)=5 | | 50x+50=60x | | 3/5×m=24 | | 9cosx+4sinx=8 | | 2(4t+1)-16=t-(t+13) | | a^2-26a=24 |

Equations solver categories