=-0.1h^2+2h-20

Simple and best practice solution for =-0.1h^2+2h-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 =-0.1h^2+2h-20 equation:


Simplifying
0 = -0.1h2 + 2h + -20

Reorder the terms:
0 = -20 + 2h + -0.1h2

Solving
0 = -20 + 2h + -0.1h2

Solving for variable 'h'.

Combine like terms: 0 + 20 = 20
20 + -2h + 0.1h2 = -20 + 2h + -0.1h2 + 20 + -2h + 0.1h2

Reorder the terms:
20 + -2h + 0.1h2 = -20 + 20 + 2h + -2h + -0.1h2 + 0.1h2

Combine like terms: -20 + 20 = 0
20 + -2h + 0.1h2 = 0 + 2h + -2h + -0.1h2 + 0.1h2
20 + -2h + 0.1h2 = 2h + -2h + -0.1h2 + 0.1h2

Combine like terms: 2h + -2h = 0
20 + -2h + 0.1h2 = 0 + -0.1h2 + 0.1h2
20 + -2h + 0.1h2 = -0.1h2 + 0.1h2

Combine like terms: -0.1h2 + 0.1h2 = 0.0
20 + -2h + 0.1h2 = 0.0

Begin completing the square.  Divide all terms by
0.1 the coefficient of the squared term: 

Divide each side by '0.1'.
200 + -20h + h2 = 0

Move the constant term to the right:

Add '-200' to each side of the equation.
200 + -20h + -200 + h2 = 0 + -200

Reorder the terms:
200 + -200 + -20h + h2 = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -20h + h2 = 0 + -200
-20h + h2 = 0 + -200

Combine like terms: 0 + -200 = -200
-20h + h2 = -200

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

Add '100' to each side of the equation.
-20h + 100 + h2 = -200 + 100

Reorder the terms:
100 + -20h + h2 = -200 + 100

Combine like terms: -200 + 100 = -100
100 + -20h + h2 = -100

Factor a perfect square on the left side:
(h + -10)(h + -10) = -100

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 14(2X+3)=6(2-X) | | -(5x-1)=9 | | 2.7x-25=-1.2x+5 | | p+(.5*p+3)=21 | | 125+m=65 | | 987898778986786465687545765457876466946789876546887654346787654676545676544567543465767890986688646898689097579866864688766898667886897579757986890976689864686468646644678975467890975577543456457899755788645698642246800975312468+0= | | 999999999999999999999999999999999999999999999999999999974747747747774447747474747777747747474747474774747474747474747474747478585858547474747466748367483747309876689876445676433456754235678644686424567897535753575357535755764468646664346645676543466543467 | | -3z^2-2z+4=0 | | 2n=5(p+1) | | 999999999999999999999999999999999999999999999999999999974747747747774447747474747777747747474747474774747474747474747474747478585858547474747466748367483747309876689876445676433456754235678644686424567897535753575357535755764468646664346645676543466543467 | | 4x^3-x+3=12x^2 | | 2k^2+14k+49=0 | | 2k(k+7)+49=0 | | 5m-3(m+1)=2(m+1)-5 | | 153.86=3.14r*r | | 5(x-6)+4=7x-6 | | 3x-4(2x+9)=34 | | -9y=-0.162 | | 6a^4+211a^2b^2+35b^4=0 | | x-4(x-y)= | | -(x-4)=3(x+1)-5 | | 25x+8=22x+10 | | 11-19= | | 6a^4+211a^2b^2+35b^2=0 | | -a+3=-2-2a-4a | | 153.86=3.14r(r) | | In(2x+3)-1=0 | | -3t=20 | | 3x-3=6+1-3x+2 | | x-3/10=7/5 | | 13x^2+39x-52=0 | | 2(2+5x)=9(x-2) |

Equations solver categories