8(-2t+5)(t-2)=0

Simple and best practice solution for 8(-2t+5)(t-2)=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 8(-2t+5)(t-2)=0 equation: 


Simplifying
8(-2t + 5)(t + -2) = 0

Reorder the terms:
8(5 + -2t)(t + -2) = 0

Reorder the terms:
8(5 + -2t)(-2 + t) = 0

Multiply (5 + -2t) * (-2 + t)
8(5(-2 + t) + -2t * (-2 + t)) = 0
8((-2 * 5 + t * 5) + -2t * (-2 + t)) = 0
8((-10 + 5t) + -2t * (-2 + t)) = 0
8(-10 + 5t + (-2 * -2t + t * -2t)) = 0
8(-10 + 5t + (4t + -2t2)) = 0

Combine like terms: 5t + 4t = 9t
8(-10 + 9t + -2t2) = 0
(-10 * 8 + 9t * 8 + -2t2 * 8) = 0
(-80 + 72t + -16t2) = 0

Solving
-80 + 72t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-10 + 9t + -2t2) = 0

Factor a trinomial.
8((-5 + 2t)(2 + -1t)) = 0

Ignore the factor 8.

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

Simplifying
-5 + 2t = 0

Solving
-5 + 2t = 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 + 2t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2t = 0 + 5
2t = 0 + 5

Combine like terms: 0 + 5 = 5
2t = 5

Divide each side by '2'.
t = 2.5

Simplifying
t = 2.5

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

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {2.5, 2}

See similar equations:

| 5(3z-1)-2(z+7)=8(z+1) | | 9c^2-18c+8=0 | | -4+6a=7a | | 8-2(a+2)-7+a= | | 25y^3-16y= | | 7y=70 | | -7a=-63 | | 16-h=7 | | 4+(-14)+19=29 | | x^4=0.0016 | | 4+(-14)+19= | | 3(t+2)+5t=36 | | (-5x^2-5x-1)+(2x^2+2+3)= | | 14+-12z=62 | | (2x^2+9y^2-8)-(7x^2+9y^2-3)= | | 5(a-4)+3(5-a)=a+4(a-1)-1 | | 7(r-3)=-42 | | 8(2r+7)=136 | | 5(X-7)=20 | | b+4=16 | | .02(5000)+.03x=.025(5000+x) | | 3(9)(8)(2)= | | 52=m-52 | | 2y-(7-4y)=10y-(y-2) | | 2x-6-6-0=4 | | x+25=86 | | 4(x+18)=2(4x+2) | | y-6=5 | | 8x=7x-16 | | x+23=94 | | n-9=15 | | -4x-16=-2x+4 |

Equations solver categories