15(t)=22t-5t^2

Simple and best practice solution for 15(t)=22t-5t^2 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 15(t)=22t-5t^2 equation: 


Simplifying
15(t) = 22t + -5t2

Solving
15t = 22t + -5t2

Solving for variable 't'.

Combine like terms: 15t + -22t = -7t
-7t + 5t2 = 22t + -5t2 + -22t + 5t2

Reorder the terms:
-7t + 5t2 = 22t + -22t + -5t2 + 5t2

Combine like terms: 22t + -22t = 0
-7t + 5t2 = 0 + -5t2 + 5t2
-7t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
-7t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-7 + 5t) = 0


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 '(-7 + 5t)' equal to zero and attempt to solve:

Simplifying
-7 + 5t = 0

Solving
-7 + 5t = 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 + 5t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5t = 0 + 7
5t = 0 + 7

Combine like terms: 0 + 7 = 7
5t = 7

Divide each side by '5'.
t = 1.4

Simplifying
t = 1.4
Solution
t = {0, 1.4}

See similar equations:

| h(t)=22t-5t^2 | | 15x+2x=7x+10 | | X^1/3-15x^1/3=-54 | | 4(b+1)+2(b+3)=10 | | 4(a-2)=3(a-1) | | 2*5-a=0 | | 3y+3+3y=7y+2-2y | | 2x^2-360x+15500=0 | | y=2x^3-10x^2-x | | 4-3x=6x+4 | | a^2+6a=4a-1 | | a^2+6a=4a-2 | | -3(z+5)=-2(z+1) | | 25x-19=6 | | 1-(5-2p)=3-(2p-5) | | 1-p=2-p | | X+7+5x-8=3+2x | | 8x+42=58 | | f(3a)=3a-9 | | -3(y-4)=5(y+3) | | ln(x+5)+6=16 | | ln(x+5)-10=0 | | 5x+2=4+x | | -14=-3k | | 10x-3y=-4 | | 3-10x-8x(2)=0 | | 2(n-5)=3n+7 | | 6x+3=-24+3x | | 3x^2+22x-8=0 | | Sin(4x)=1.5sin(2x) | | 7m=-133 | | 4(x-4)=8+4x^2 |

Equations solver categories