.06x+0.09x(x+200)=63

Simple and best practice solution for .06x+0.09x(x+200)=63 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 .06x+0.09x(x+200)=63 equation:


Simplifying
0.06x + 0.09x(x + 200) = 63

Reorder the terms:
0.06x + 0.09x(200 + x) = 63
0.06x + (200 * 0.09x + x * 0.09x) = 63
0.06x + (18x + 0.09x2) = 63

Combine like terms: 0.06x + 18x = 18.06x
18.06x + 0.09x2 = 63

Solving
18.06x + 0.09x2 = 63

Solving for variable 'x'.

Reorder the terms:
-63 + 18.06x + 0.09x2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + 18.06x + 0.09x2 = 0

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

Divide each side by '0.09'.
-700 + 200.6666667x + x2 = 0

Move the constant term to the right:

Add '700' to each side of the equation.
-700 + 200.6666667x + 700 + x2 = 0 + 700

Reorder the terms:
-700 + 700 + 200.6666667x + x2 = 0 + 700

Combine like terms: -700 + 700 = 0
0 + 200.6666667x + x2 = 0 + 700
200.6666667x + x2 = 0 + 700

Combine like terms: 0 + 700 = 700
200.6666667x + x2 = 700

The x term is 200.6666667x.  Take half its coefficient (100.3333334).
Square it (10066.77779) and add it to both sides.

Add '10066.77779' to each side of the equation.
200.6666667x + 10066.77779 + x2 = 700 + 10066.77779

Reorder the terms:
10066.77779 + 200.6666667x + x2 = 700 + 10066.77779

Combine like terms: 700 + 10066.77779 = 10766.77779
10066.77779 + 200.6666667x + x2 = 10766.77779

Factor a perfect square on the left side:
(x + 100.3333334)(x + 100.3333334) = 10766.77779

Calculate the square root of the right side: 103.76308491

Break this problem into two subproblems by setting 
(x + 100.3333334) equal to 103.76308491 and -103.76308491.

Subproblem 1

x + 100.3333334 = 103.76308491 Simplifying x + 100.3333334 = 103.76308491 Reorder the terms: 100.3333334 + x = 103.76308491 Solving 100.3333334 + x = 103.76308491 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100.3333334' to each side of the equation. 100.3333334 + -100.3333334 + x = 103.76308491 + -100.3333334 Combine like terms: 100.3333334 + -100.3333334 = 0.0000000 0.0000000 + x = 103.76308491 + -100.3333334 x = 103.76308491 + -100.3333334 Combine like terms: 103.76308491 + -100.3333334 = 3.42975151 x = 3.42975151 Simplifying x = 3.42975151

Subproblem 2

x + 100.3333334 = -103.76308491 Simplifying x + 100.3333334 = -103.76308491 Reorder the terms: 100.3333334 + x = -103.76308491 Solving 100.3333334 + x = -103.76308491 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100.3333334' to each side of the equation. 100.3333334 + -100.3333334 + x = -103.76308491 + -100.3333334 Combine like terms: 100.3333334 + -100.3333334 = 0.0000000 0.0000000 + x = -103.76308491 + -100.3333334 x = -103.76308491 + -100.3333334 Combine like terms: -103.76308491 + -100.3333334 = -204.09641831 x = -204.09641831 Simplifying x = -204.09641831

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.42975151, -204.09641831}

See similar equations:

| 2a^2+3a-7=20 | | 3q+15=21 | | 7+4x=36 | | 78+5y-34=16y-12-3y | | 10(s-5)=-107 | | 26x-3=75 | | 30-5x=6-8x | | 13(t-2)+8t=7(3t+4)-12 | | 9+i=x | | 38+4y-11=14y-13-2y | | 1+9i=x | | 5y+5x=2 | | 8(3s+6)=312 | | 5x+5y=2fory | | 7(2l+7)=133 | | X/5-x/6=6/5 | | 3y-6=-24 | | 2(a-8)=18 | | d(m-9)=d*9-d*-9 | | (u+5)*9=90 | | lx-4l=14 | | 8(10w+2)= | | 7x-2(.5)=20 | | -1/5x-2 | | 3-x=4(x-3) | | (q-3)*6=60 | | 4.2p+2=44 | | 5csquared+32c+35=0 | | 25v^2-110v+40=0 | | 9n+2n+3n-9= | | -36=9w | | (e+1)*6=18 |

Equations solver categories