20f(8f-15)=3(4f-5)

Simple and best practice solution for 20f(8f-15)=3(4f-5) 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 20f(8f-15)=3(4f-5) equation:


Simplifying
20f(8f + -15) = 3(4f + -5)

Reorder the terms:
20f(-15 + 8f) = 3(4f + -5)
(-15 * 20f + 8f * 20f) = 3(4f + -5)
(-300f + 160f2) = 3(4f + -5)

Reorder the terms:
-300f + 160f2 = 3(-5 + 4f)
-300f + 160f2 = (-5 * 3 + 4f * 3)
-300f + 160f2 = (-15 + 12f)

Solving
-300f + 160f2 = -15 + 12f

Solving for variable 'f'.

Reorder the terms:
15 + -300f + -12f + 160f2 = -15 + 12f + 15 + -12f

Combine like terms: -300f + -12f = -312f
15 + -312f + 160f2 = -15 + 12f + 15 + -12f

Reorder the terms:
15 + -312f + 160f2 = -15 + 15 + 12f + -12f

Combine like terms: -15 + 15 = 0
15 + -312f + 160f2 = 0 + 12f + -12f
15 + -312f + 160f2 = 12f + -12f

Combine like terms: 12f + -12f = 0
15 + -312f + 160f2 = 0

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

Divide each side by '160'.
0.09375 + -1.95f + f2 = 0.0

Move the constant term to the right:

Add '-0.09375' to each side of the equation.
0.09375 + -1.95f + -0.09375 + f2 = 0.0 + -0.09375

Reorder the terms:
0.09375 + -0.09375 + -1.95f + f2 = 0.0 + -0.09375

Combine like terms: 0.09375 + -0.09375 = 0.00000
0.00000 + -1.95f + f2 = 0.0 + -0.09375
-1.95f + f2 = 0.0 + -0.09375

Combine like terms: 0.0 + -0.09375 = -0.09375
-1.95f + f2 = -0.09375

The f term is -1.95f.  Take half its coefficient (-0.975).
Square it (0.950625) and add it to both sides.

Add '0.950625' to each side of the equation.
-1.95f + 0.950625 + f2 = -0.09375 + 0.950625

Reorder the terms:
0.950625 + -1.95f + f2 = -0.09375 + 0.950625

Combine like terms: -0.09375 + 0.950625 = 0.856875
0.950625 + -1.95f + f2 = 0.856875

Factor a perfect square on the left side:
(f + -0.975)(f + -0.975) = 0.856875

Calculate the square root of the right side: 0.925675429

Break this problem into two subproblems by setting 
(f + -0.975) equal to 0.925675429 and -0.925675429.

Subproblem 1

f + -0.975 = 0.925675429 Simplifying f + -0.975 = 0.925675429 Reorder the terms: -0.975 + f = 0.925675429 Solving -0.975 + f = 0.925675429 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '0.975' to each side of the equation. -0.975 + 0.975 + f = 0.925675429 + 0.975 Combine like terms: -0.975 + 0.975 = 0.000 0.000 + f = 0.925675429 + 0.975 f = 0.925675429 + 0.975 Combine like terms: 0.925675429 + 0.975 = 1.900675429 f = 1.900675429 Simplifying f = 1.900675429

Subproblem 2

f + -0.975 = -0.925675429 Simplifying f + -0.975 = -0.925675429 Reorder the terms: -0.975 + f = -0.925675429 Solving -0.975 + f = -0.925675429 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '0.975' to each side of the equation. -0.975 + 0.975 + f = -0.925675429 + 0.975 Combine like terms: -0.975 + 0.975 = 0.000 0.000 + f = -0.925675429 + 0.975 f = -0.925675429 + 0.975 Combine like terms: -0.925675429 + 0.975 = 0.049324571 f = 0.049324571 Simplifying f = 0.049324571

Solution

The solution to the problem is based on the solutions from the subproblems. f = {1.900675429, 0.049324571}

See similar equations:

| -78y-78=y-22 | | y=180(3-2) | | 2(4y-8)=8 | | 3x-12=wx+4 | | 5x+57=3x+67 | | x-137=-8x+88 | | 2x^2-10*x= | | 6r-14=5(r-4) | | 2t-1=99 | | 2(2+2x)=3(x-4) | | 4t-2+12=6+12 | | y=180(3x-2) | | 5x^2+10x+40-5x^2-10=0 | | 5x-10+x+7=39 | | 8x+10=-2(-4x-5) | | x^2+29x-6=0 | | -5/8c20 | | 14-2x+10x-7=6 | | 9x+3y=131 | | 360=3x+x+30 | | v(t)=6t^3-5t^2-10t+3 | | -74+11x=4x+136 | | 27=3(v-4)-6v | | 4m-10n+3m= | | 1000+700+6x=800+200+8x | | 25+11=-6x^2 | | 29=-3-8t | | 2t(t-2)=6-3t | | 27=3(v-4)-6 | | 3y+.6=-2x | | 30(13.10)=17n+2 | | (6a^3b)(-8a^4b^2)= |

Equations solver categories