h^2+28h+47=0

Simple and best practice solution for h^2+28h+47=0 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 h^2+28h+47=0 equation:


Simplifying
h2 + 28h + 47 = 0

Reorder the terms:
47 + 28h + h2 = 0

Solving
47 + 28h + h2 = 0

Solving for variable 'h'.

Begin completing the square.

Move the constant term to the right:

Add '-47' to each side of the equation.
47 + 28h + -47 + h2 = 0 + -47

Reorder the terms:
47 + -47 + 28h + h2 = 0 + -47

Combine like terms: 47 + -47 = 0
0 + 28h + h2 = 0 + -47
28h + h2 = 0 + -47

Combine like terms: 0 + -47 = -47
28h + h2 = -47

The h term is 28h.  Take half its coefficient (14).
Square it (196) and add it to both sides.

Add '196' to each side of the equation.
28h + 196 + h2 = -47 + 196

Reorder the terms:
196 + 28h + h2 = -47 + 196

Combine like terms: -47 + 196 = 149
196 + 28h + h2 = 149

Factor a perfect square on the left side:
(h + 14)(h + 14) = 149

Calculate the square root of the right side: 12.206555616

Break this problem into two subproblems by setting 
(h + 14) equal to 12.206555616 and -12.206555616.

Subproblem 1

h + 14 = 12.206555616 Simplifying h + 14 = 12.206555616 Reorder the terms: 14 + h = 12.206555616 Solving 14 + h = 12.206555616 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + h = 12.206555616 + -14 Combine like terms: 14 + -14 = 0 0 + h = 12.206555616 + -14 h = 12.206555616 + -14 Combine like terms: 12.206555616 + -14 = -1.793444384 h = -1.793444384 Simplifying h = -1.793444384

Subproblem 2

h + 14 = -12.206555616 Simplifying h + 14 = -12.206555616 Reorder the terms: 14 + h = -12.206555616 Solving 14 + h = -12.206555616 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + h = -12.206555616 + -14 Combine like terms: 14 + -14 = 0 0 + h = -12.206555616 + -14 h = -12.206555616 + -14 Combine like terms: -12.206555616 + -14 = -26.206555616 h = -26.206555616 Simplifying h = -26.206555616

Solution

The solution to the problem is based on the solutions from the subproblems. h = {-1.793444384, -26.206555616}

See similar equations:

| 9x-10=64 | | 20=(2w-3)*w | | -s+4x=33 | | 96=w(w+2) | | 81*d=3 | | -3v^2+12v+3=0 | | 9(x+1)=7(x-3)+30 | | 8i-7i=1 | | x=-2.5+-2y | | -6x+-6=-5x+-8 | | t/4-10=-2 | | -2s^2+52s-74=0 | | 6x^3+11x+5= | | X/0.02=3.1×10^-4 | | P^2+6p+5= | | 2ab+3c-2a=30 | | 10=-8-m | | 5(x-11)=11x-5 | | -4.9t^2+27t+2.4=30 | | j^2+18j-23=0 | | 48=2w^2+2 | | y-3/5=1/3 | | q^2+4q+12=0 | | -9-2t=7 | | sin(4x)=0.79 | | X=-ln((100-p)/p) | | 13(g+2)=787 | | Ln(x-y)=10 | | -2q^2-60q-46=0 | | x^3-8x^2+9x-3=0 | | 2y^2+12=-11 | | 4f^2-80f+76=0 |

Equations solver categories