-0.2x^2+9.7x+11=0

Simple and best practice solution for -0.2x^2+9.7x+11=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 -0.2x^2+9.7x+11=0 equation: 


Simplifying
-0.2x2 + 9.7x + 11 = 0

Reorder the terms:
11 + 9.7x + -0.2x2 = 0

Solving
11 + 9.7x + -0.2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.2 the coefficient of the squared term: 

Divide each side by '-0.2'.
-55 + -48.5x + x2 = 0

Move the constant term to the right:

Add '55' to each side of the equation.
-55 + -48.5x + 55 + x2 = 0 + 55

Reorder the terms:
-55 + 55 + -48.5x + x2 = 0 + 55

Combine like terms: -55 + 55 = 0
0 + -48.5x + x2 = 0 + 55
-48.5x + x2 = 0 + 55

Combine like terms: 0 + 55 = 55
-48.5x + x2 = 55

The x term is -48.5x.  Take half its coefficient (-24.25).
Square it (588.0625) and add it to both sides.

Add '588.0625' to each side of the equation.
-48.5x + 588.0625 + x2 = 55 + 588.0625

Reorder the terms:
588.0625 + -48.5x + x2 = 55 + 588.0625

Combine like terms: 55 + 588.0625 = 643.0625
588.0625 + -48.5x + x2 = 643.0625

Factor a perfect square on the left side:
(x + -24.25)(x + -24.25) = 643.0625

Calculate the square root of the right side: 25.358677016

Break this problem into two subproblems by setting 
(x + -24.25) equal to 25.358677016 and -25.358677016.


Subproblem 1
x + -24.25 = 25.358677016

Simplifying
x + -24.25 = 25.358677016

Reorder the terms:
-24.25 + x = 25.358677016

Solving
-24.25 + x = 25.358677016

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '24.25' to each side of the equation.
-24.25 + 24.25 + x = 25.358677016 + 24.25

Combine like terms: -24.25 + 24.25 = 0.00
0.00 + x = 25.358677016 + 24.25
x = 25.358677016 + 24.25

Combine like terms: 25.358677016 + 24.25 = 49.608677016
x = 49.608677016

Simplifying
x = 49.608677016


Subproblem 2
x + -24.25 = -25.358677016

Simplifying
x + -24.25 = -25.358677016

Reorder the terms:
-24.25 + x = -25.358677016

Solving
-24.25 + x = -25.358677016

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '24.25' to each side of the equation.
-24.25 + 24.25 + x = -25.358677016 + 24.25

Combine like terms: -24.25 + 24.25 = 0.00
0.00 + x = -25.358677016 + 24.25
x = -25.358677016 + 24.25

Combine like terms: -25.358677016 + 24.25 = -1.108677016
x = -1.108677016

Simplifying
x = -1.108677016


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {49.608677016, -1.108677016}

See similar equations:

| -0.2x^2+9.7x+1=0 | | 7m+3=4-2m | | 28lnx=12 | | 6y-v+7= | | 2x+9-7-x=14+8-1x | | 8s-16=5+s | | -13+x=199 | | 48.73/12 | | 94.8/1000 | | P(u-1)-8(u-1)= | | 3x^2-y^2=26 | | (5x-2)(9-x)=0 | | 5(x+8)=-60 | | -8x^2+3x+38=0 | | x^3+3x-2i=0 | | 4xy+2xz+2yz=48 | | X(2x-2)+x(3x-2)=(5x+7)(x-2) | | 2y-20=-4(y-7) | | -0.16p-0.04(6-6p)=0.04(p-5)-0.28 | | 2(v-3)=-7v+3 | | -4w+14=-7(w+1) | | 0.15x+0.3(x-1)=0.01(5x-2) | | 5x+13=45 | | 2(1.5)-3y=0 | | 2(1/2)-3y=0 | | (9-y)(3y+5)=0 | | 1.3485/0.31 | | 2=2y+4(y-4) | | 2y=3+15 | | -2x+8(x+8)=4 | | 2=4(u-4)-6u | | 7(y+1)-2=5(y-1)+2 |

Equations solver categories