4t(8t+2)+t(7t+7)=

Simple and best practice solution for 4t(8t+2)+t(7t+7)= 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(8t+2)+t(7t+7)= equation: 


Simplifying
4t(8t + 2) + t(7t + 7) = 0

Reorder the terms:
4t(2 + 8t) + t(7t + 7) = 0
(2 * 4t + 8t * 4t) + t(7t + 7) = 0
(8t + 32t2) + t(7t + 7) = 0

Reorder the terms:
8t + 32t2 + t(7 + 7t) = 0
8t + 32t2 + (7 * t + 7t * t) = 0
8t + 32t2 + (7t + 7t2) = 0

Reorder the terms:
8t + 7t + 32t2 + 7t2 = 0

Combine like terms: 8t + 7t = 15t
15t + 32t2 + 7t2 = 0

Combine like terms: 32t2 + 7t2 = 39t2
15t + 39t2 = 0

Solving
15t + 39t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t'.
3t(5 + 13t) = 0

Ignore the factor 3.

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 + 13t)' equal to zero and attempt to solve:

Simplifying
5 + 13t = 0

Solving
5 + 13t = 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 + 13t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 13t = 0 + -5
13t = 0 + -5

Combine like terms: 0 + -5 = -5
13t = -5

Divide each side by '13'.
t = -0.3846153846

Simplifying
t = -0.3846153846
Solution
t = {0, -0.3846153846}

See similar equations:

| 36=13n-4r | | 56*x=320 | | 3+7(5+t)=2-6(4-t) | | 3+x*6=12x-12 | | -t-10r= | | 10x-1=2x+14 | | 3x^2-6xyz+2(x+y)= | | 1+7b=7+6b | | 4n+4c= | | 4x+9+3x=20 | | 2.5+x=7.5 | | 5x+5-6+3x=-2x+10-20+16x | | -3=12-t | | 8+2n=8n+8 | | 5x+2x-14=0 | | 3w+3w+w+w= | | 9x+7-8x=24 | | (x+1)+4=5 | | 0.8x-8=2.3x-20 | | 9*27+2*31=n | | 24x^4-56x^3=0 | | 7x-3-2x=32 | | 2.5+x= | | 15v-8=-10 | | 3x-9=2x^2-18 | | 10x-7=4x+6+5x | | -3m-9n=24 | | -q-11=5q+13 | | X=-9+14 | | 10*x=250 | | 5g+4(-5-3g)=1-g | | 9+2(x-5)+5x=3-(x+7)+7x |

Equations solver categories