(-t+r)dt+(7t-4r)dr=0

Simple and best practice solution for (-t+r)dt+(7t-4r)dr=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 (-t+r)dt+(7t-4r)dr=0 equation: 


Simplifying
(-1t + r) * dt + (7t + -4r) * dr = 0

Reorder the terms:
(r + -1t) * dt + (7t + -4r) * dr = 0

Reorder the terms for easier multiplication:
dt(r + -1t) + (7t + -4r) * dr = 0
(r * dt + -1t * dt) + (7t + -4r) * dr = 0
(drt + -1dt2) + (7t + -4r) * dr = 0

Reorder the terms:
drt + -1dt2 + (-4r + 7t) * dr = 0

Reorder the terms for easier multiplication:
drt + -1dt2 + dr(-4r + 7t) = 0
drt + -1dt2 + (-4r * dr + 7t * dr) = 0

Reorder the terms:
drt + -1dt2 + (7drt + -4dr2) = 0
drt + -1dt2 + (7drt + -4dr2) = 0

Reorder the terms:
drt + 7drt + -4dr2 + -1dt2 = 0

Combine like terms: drt + 7drt = 8drt
8drt + -4dr2 + -1dt2 = 0

Solving
8drt + -4dr2 + -1dt2 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'd'.
d(8rt + -4r2 + -1t2) = 0


Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(8rt + -4r2 + -1t2)' equal to zero and attempt to solve:

Simplifying
8rt + -4r2 + -1t2 = 0

Solving
8rt + -4r2 + -1t2 = 0

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

Add '-8rt' to each side of the equation.
8rt + -4r2 + -8rt + -1t2 = 0 + -8rt

Reorder the terms:
8rt + -8rt + -4r2 + -1t2 = 0 + -8rt

Combine like terms: 8rt + -8rt = 0
0 + -4r2 + -1t2 = 0 + -8rt
-4r2 + -1t2 = 0 + -8rt
Remove the zero:
-4r2 + -1t2 = -8rt

Add '4r2' to each side of the equation.
-4r2 + 4r2 + -1t2 = -8rt + 4r2

Combine like terms: -4r2 + 4r2 = 0
0 + -1t2 = -8rt + 4r2
-1t2 = -8rt + 4r2

Add 't2' to each side of the equation.
-1t2 + t2 = -8rt + 4r2 + t2

Combine like terms: -1t2 + t2 = 0
0 = -8rt + 4r2 + t2

Simplifying
0 = -8rt + 4r2 + t2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

See similar equations:

| (-t+r)d+(7t-4r)dr=0 | | 5x+10x=30 | | (3d^2)/(9d^5) | | 3d^2/9d^5 | | 8-8p=23 | | 1140=750(1+0.13) | | x-.25x=235.65 | | x+.11x=5173 | | -1.9t+5.28=0.3(7-6t) | | -9.3(3.5)= | | y^3-4y+3=0 | | v^2+3v=28 | | x-7=5y+31 | | x-7=y+31 | | (2x-1)(1x+4)=0 | | (200-y)/y=0.2 | | .6(4x+1)=2(3-4x)+5 | | 6x^2-7x-90=0 | | 5x^2-35-150=0 | | 0.02(p-4)=0.08p+0.16 | | 5(x-6)+14=3(x-4) | | 36=9(x+4) | | 5(x-6)+14=(x-4) | | (6n-5q)/11=c | | 4+6(a-2)=16 | | (z-6)+[-(z-6)]=0 | | 4B+6=5(B-9) | | =12x^2-84x+104 | | 3.5=12u-5u | | 2(3-w)+8=-8(w-3)-5 | | -8x-7/2 | | 14x-18=180 |

Equations solver categories