4t^2(t-2)=140t

Simple and best practice solution for 4t^2(t-2)=140t 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 4t^2(t-2)=140t equation: 


Simplifying
4t2(t + -2) = 140t

Reorder the terms:
4t2(-2 + t) = 140t
(-2 * 4t2 + t * 4t2) = 140t
(-8t2 + 4t3) = 140t

Solving
-8t2 + 4t3 = 140t

Solving for variable 't'.

Reorder the terms:
-140t + -8t2 + 4t3 = 140t + -140t

Combine like terms: 140t + -140t = 0
-140t + -8t2 + 4t3 = 0

Factor out the Greatest Common Factor (GCF), '4t'.
4t(-35 + -2t + t2) = 0

Factor a trinomial.
4t((-5 + -1t)(7 + -1t)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0

Subproblem 2
Set the factor '(-5 + -1t)' equal to zero and attempt to solve:

Simplifying
-5 + -1t = 0

Solving
-5 + -1t = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1t = 0 + 5
-1t = 0 + 5

Combine like terms: 0 + 5 = 5
-1t = 5

Divide each side by '-1'.
t = -5

Simplifying
t = -5

Subproblem 3
Set the factor '(7 + -1t)' equal to zero and attempt to solve:

Simplifying
7 + -1t = 0

Solving
7 + -1t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1t = 0 + -7
-1t = 0 + -7

Combine like terms: 0 + -7 = -7
-1t = -7

Divide each side by '-1'.
t = 7

Simplifying
t = 7
Solution
t = {0, -5, 7}

See similar equations:

| D+6=27 | | -22.6-x=28.5 | | 3m-7=17 | | -50.4=-6.3c | | x+y+1=10 | | 2x=3y+1 | | t^2-11t-7=0 | | y^2+y-9=0 | | 5y+3y=32 | | -9-5x=-4 | | (5+w)2=-6 | | -16+5u=u+20 | | 4x^3-x^2-5x=0 | | 6x(-5)=13 | | .75+2(.15-.5)=3(.15)-0.4 | | 3*-3=18 | | .75+2(.15-.5)=3(.15)-.4 | | .75+2(.15-.5)=3.15-.4 | | 2ab-3b+4a-6=0 | | 3x+5-1=2x+6 | | c^2-2c=3c+24 | | m+32=126 | | m+7=35 | | 7x+8+4x+5+3x-1=180 | | x+6+3x=90 | | rx+3=x-3 | | 5+k-2k=7 | | .33*B*5=25 | | (7x-9)(6x+1)=0 | | 3(w-12)=-9 | | 3y-1+y=34+2y-3y | | r(r+2)=255 |

Equations solver categories