15=-0.011x^2+0.99x+1.6

Simple and best practice solution for 15=-0.011x^2+0.99x+1.6 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 15=-0.011x^2+0.99x+1.6 equation:


Simplifying
15 = -0.011x2 + 0.99x + 1.6

Reorder the terms:
15 = 1.6 + 0.99x + -0.011x2

Solving
15 = 1.6 + 0.99x + -0.011x2

Solving for variable 'x'.

Combine like terms: 15 + -1.6 = 13.4
13.4 + -0.99x + 0.011x2 = 1.6 + 0.99x + -0.011x2 + -1.6 + -0.99x + 0.011x2

Reorder the terms:
13.4 + -0.99x + 0.011x2 = 1.6 + -1.6 + 0.99x + -0.99x + -0.011x2 + 0.011x2

Combine like terms: 1.6 + -1.6 = 0.0
13.4 + -0.99x + 0.011x2 = 0.0 + 0.99x + -0.99x + -0.011x2 + 0.011x2
13.4 + -0.99x + 0.011x2 = 0.99x + -0.99x + -0.011x2 + 0.011x2

Combine like terms: 0.99x + -0.99x = 0.00
13.4 + -0.99x + 0.011x2 = 0.00 + -0.011x2 + 0.011x2
13.4 + -0.99x + 0.011x2 = -0.011x2 + 0.011x2

Combine like terms: -0.011x2 + 0.011x2 = 0.000
13.4 + -0.99x + 0.011x2 = 0.000

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

Divide each side by '0.011'.
1218.181818 + -90x + x2 = 0

Move the constant term to the right:

Add '-1218.181818' to each side of the equation.
1218.181818 + -90x + -1218.181818 + x2 = 0 + -1218.181818

Reorder the terms:
1218.181818 + -1218.181818 + -90x + x2 = 0 + -1218.181818

Combine like terms: 1218.181818 + -1218.181818 = 0.000000
0.000000 + -90x + x2 = 0 + -1218.181818
-90x + x2 = 0 + -1218.181818

Combine like terms: 0 + -1218.181818 = -1218.181818
-90x + x2 = -1218.181818

The x term is -90x.  Take half its coefficient (-45).
Square it (2025) and add it to both sides.

Add '2025' to each side of the equation.
-90x + 2025 + x2 = -1218.181818 + 2025

Reorder the terms:
2025 + -90x + x2 = -1218.181818 + 2025

Combine like terms: -1218.181818 + 2025 = 806.818182
2025 + -90x + x2 = 806.818182

Factor a perfect square on the left side:
(x + -45)(x + -45) = 806.818182

Calculate the square root of the right side: 28.404545094

Break this problem into two subproblems by setting 
(x + -45) equal to 28.404545094 and -28.404545094.

Subproblem 1

x + -45 = 28.404545094 Simplifying x + -45 = 28.404545094 Reorder the terms: -45 + x = 28.404545094 Solving -45 + x = 28.404545094 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + x = 28.404545094 + 45 Combine like terms: -45 + 45 = 0 0 + x = 28.404545094 + 45 x = 28.404545094 + 45 Combine like terms: 28.404545094 + 45 = 73.404545094 x = 73.404545094 Simplifying x = 73.404545094

Subproblem 2

x + -45 = -28.404545094 Simplifying x + -45 = -28.404545094 Reorder the terms: -45 + x = -28.404545094 Solving -45 + x = -28.404545094 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + x = -28.404545094 + 45 Combine like terms: -45 + 45 = 0 0 + x = -28.404545094 + 45 x = -28.404545094 + 45 Combine like terms: -28.404545094 + 45 = 16.595454906 x = 16.595454906 Simplifying x = 16.595454906

Solution

The solution to the problem is based on the solutions from the subproblems. x = {73.404545094, 16.595454906}

See similar equations:

| 3n=57 | | 14=-3/x | | 2(4y+1)= | | 11x/12 | | 2z+9=4z-3 | | Cos(2x)+5sin(x)=3 | | 13r=78 | | 7+5y=32 | | x/3-8=(-12) | | (4h-7)(2h+1)=0 | | 3(5x+8)=28 | | 10n+3=23 | | -3k-4=-22 | | Cos(2x)-5sin(x)=3 | | p^2+20p=64 | | 2b^2+10b+15=0 | | e^5x+4=e^6 | | 3(4x+2)=51 | | cos(11x/12) | | 4x^4-36x^4=0 | | 8x+3(2x-3)=11-6x | | 23x+13=14x+2 | | 2x-3x=-2x+8 | | .0032X^2+x=115 | | (n-2)(180)/n=2*360/n | | 200+0.5x=75+0.10 | | X^2+x=115 | | 525.00+.21x=.13x+585 | | -4(u+6)=5u+39 | | (-ab^2)(-6ab^2)(3ab)= | | 3(x+6)=2(X-8)+X | | -4d+6=-12 |

Equations solver categories