0.2f+0.6f(f+20)=-8+0.4f

Simple and best practice solution for 0.2f+0.6f(f+20)=-8+0.4f 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 0.2f+0.6f(f+20)=-8+0.4f equation:


Simplifying
0.2f + 0.6f(f + 20) = -8 + 0.4f

Reorder the terms:
0.2f + 0.6f(20 + f) = -8 + 0.4f
0.2f + (20 * 0.6f + f * 0.6f) = -8 + 0.4f
0.2f + (12f + 0.6f2) = -8 + 0.4f

Combine like terms: 0.2f + 12f = 12.2f
12.2f + 0.6f2 = -8 + 0.4f

Solving
12.2f + 0.6f2 = -8 + 0.4f

Solving for variable 'f'.

Reorder the terms:
8 + 12.2f + -0.4f + 0.6f2 = -8 + 0.4f + 8 + -0.4f

Combine like terms: 12.2f + -0.4f = 11.8f
8 + 11.8f + 0.6f2 = -8 + 0.4f + 8 + -0.4f

Reorder the terms:
8 + 11.8f + 0.6f2 = -8 + 8 + 0.4f + -0.4f

Combine like terms: -8 + 8 = 0
8 + 11.8f + 0.6f2 = 0 + 0.4f + -0.4f
8 + 11.8f + 0.6f2 = 0.4f + -0.4f

Combine like terms: 0.4f + -0.4f = 0.0
8 + 11.8f + 0.6f2 = 0.0

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

Divide each side by '0.6'.
13.33333333 + 19.66666667f + f2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + 19.66666667f + -13.33333333 + f2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + 19.66666667f + f2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + 19.66666667f + f2 = 0 + -13.33333333
19.66666667f + f2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
19.66666667f + f2 = -13.33333333

The f term is 19.66666667f.  Take half its coefficient (9.833333335).
Square it (96.69444448) and add it to both sides.

Add '96.69444448' to each side of the equation.
19.66666667f + 96.69444448 + f2 = -13.33333333 + 96.69444448

Reorder the terms:
96.69444448 + 19.66666667f + f2 = -13.33333333 + 96.69444448

Combine like terms: -13.33333333 + 96.69444448 = 83.36111115
96.69444448 + 19.66666667f + f2 = 83.36111115

Factor a perfect square on the left side:
(f + 9.833333335)(f + 9.833333335) = 83.36111115

Calculate the square root of the right side: 9.130230619

Break this problem into two subproblems by setting 
(f + 9.833333335) equal to 9.130230619 and -9.130230619.

Subproblem 1

f + 9.833333335 = 9.130230619 Simplifying f + 9.833333335 = 9.130230619 Reorder the terms: 9.833333335 + f = 9.130230619 Solving 9.833333335 + f = 9.130230619 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9.833333335' to each side of the equation. 9.833333335 + -9.833333335 + f = 9.130230619 + -9.833333335 Combine like terms: 9.833333335 + -9.833333335 = 0.000000000 0.000000000 + f = 9.130230619 + -9.833333335 f = 9.130230619 + -9.833333335 Combine like terms: 9.130230619 + -9.833333335 = -0.703102716 f = -0.703102716 Simplifying f = -0.703102716

Subproblem 2

f + 9.833333335 = -9.130230619 Simplifying f + 9.833333335 = -9.130230619 Reorder the terms: 9.833333335 + f = -9.130230619 Solving 9.833333335 + f = -9.130230619 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9.833333335' to each side of the equation. 9.833333335 + -9.833333335 + f = -9.130230619 + -9.833333335 Combine like terms: 9.833333335 + -9.833333335 = 0.000000000 0.000000000 + f = -9.130230619 + -9.833333335 f = -9.130230619 + -9.833333335 Combine like terms: -9.130230619 + -9.833333335 = -18.963563954 f = -18.963563954 Simplifying f = -18.963563954

Solution

The solution to the problem is based on the solutions from the subproblems. f = {-0.703102716, -18.963563954}

See similar equations:

| -7(3x+5)=-21x+35 | | x^3-4y^2+3=0 | | -2b-2b=-8 | | 10u^6+26u^5-12u^4=0 | | 3x+1=4x | | 3(3x-3)=9(x-3) | | w^2=-7 | | 2n^2+13n+10=0 | | 51-5X=39-10X | | 25x*=54 | | 16k+4=4k+-3 | | 50+.25x=70+.20x | | 50+.25x=70+.20 | | (-4x^3y)(2x^3-5x^2y)= | | 2.33+3n=0.8n+12 | | 7a+9-2(3a)=21 | | 2(3x+2)=11x+2-5x+2 | | 3x+7y=37 | | 21-6x=14+x | | 2e+2=4e-12 | | 4(x+1)+(x+3)=5(x+1)+2 | | 4(5x+1)=-16 | | y-5y+2=3 | | 4x^2+31x^8= | | 7d-2d+d+7=2d | | -36=4g | | 24x-22=-4(-6x) | | 3X-26=7X+2 | | r^2=-13 | | s^2-17=13-s^2 | | 11x-3=12-3x | | 8+4a-4=20 |

Equations solver categories