f(e-a-c)=e(f-b-(1000-c))

Simple and best practice solution for f(e-a-c)=e(f-b-(1000-c)) 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 f(e-a-c)=e(f-b-(1000-c)) equation: 


Simplifying
f(e + -1a + -1c) = e(f + -1b + -1(1000 + -1c))

Reorder the terms:
f(-1a + -1c + e) = e(f + -1b + -1(1000 + -1c))
(-1a * f + -1c * f + e * f) = e(f + -1b + -1(1000 + -1c))
(-1af + -1cf + ef) = e(f + -1b + -1(1000 + -1c))
-1af + -1cf + ef = e(f + -1b + (1000 * -1 + -1c * -1))
-1af + -1cf + ef = e(f + -1b + (-1000 + 1c))

Reorder the terms:
-1af + -1cf + ef = e(-1000 + -1b + 1c + f)
-1af + -1cf + ef = (-1000 * e + -1b * e + 1c * e + f * e)

Reorder the terms:
-1af + -1cf + ef = (-1be + 1ce + -1000e + ef)
-1af + -1cf + ef = (-1be + 1ce + -1000e + ef)

Add '-1ef' to each side of the equation.
-1af + -1cf + ef + -1ef = -1be + 1ce + -1000e + ef + -1ef

Combine like terms: ef + -1ef = 0
-1af + -1cf + 0 = -1be + 1ce + -1000e + ef + -1ef
-1af + -1cf = -1be + 1ce + -1000e + ef + -1ef

Combine like terms: ef + -1ef = 0
-1af + -1cf = -1be + 1ce + -1000e + 0
-1af + -1cf = -1be + 1ce + -1000e

Solving
-1af + -1cf = -1be + 1ce + -1000e

Solving for variable 'a'.

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

Add 'cf' to each side of the equation.
-1af + -1cf + cf = -1be + 1ce + cf + -1000e

Combine like terms: -1cf + cf = 0
-1af + 0 = -1be + 1ce + cf + -1000e
-1af = -1be + 1ce + cf + -1000e

Divide each side by '-1f'.
a = bef-1 + -1cef-1 + -1c + 1000ef-1

Simplifying
a = bef-1 + -1cef-1 + -1c + 1000ef-1

Reorder the terms:
a = bef-1 + -1c + -1cef-1 + 1000ef-1

See similar equations:

| Y=12x^2-6x | | 4x+(-3+7x)= | | 15=d/-15 | | X(x-2)+2=11-2x | | 45=12-11a | | f(x)=-6/-x-6 | | 2.35-0.5= | | 4n-9=-1 | | 100-2x=38 | | ((2x-3)/(2(2x^2-3x)))=0 | | ((2x-3)/(2(x^2-3x))=0 | | X+x+(2x-5)=25 | | 26x-17y=162 | | ((3(x-4)-(3x-2))/(x-4)^2)=0 | | 6-4x=-6x+6 | | x+(x*.85)+(x*.5)=440.47 | | (5p3/q)^3 | | 9(x-4)/6 | | y=3x^2-x | | n^2-6+-16=0 | | 2(4w+8)3=-5 | | -6(2t+2)=-48 | | 4(f-7)=-52 | | N^2-6n+16=0 | | 10(s-6)=-107 | | -3(t-5)+8t=9t-9 | | 5(2l+10)=140 | | V^2-7v-90=0 | | 3(a-8)=45 | | 5-(8-y)/2=-y | | 6(4s+3)=306 | | (x^3)-x-36=0 |

Equations solver categories