-5t^2-8t+6=0

Simple and best practice solution for -5t^2-8t+6=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 -5t^2-8t+6=0 equation:


Simplifying
-5t2 + -8t + 6 = 0

Reorder the terms:
6 + -8t + -5t2 = 0

Solving
6 + -8t + -5t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
-1.2 + 1.6t + t2 = 0

Move the constant term to the right:

Add '1.2' to each side of the equation.
-1.2 + 1.6t + 1.2 + t2 = 0 + 1.2

Reorder the terms:
-1.2 + 1.2 + 1.6t + t2 = 0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.6t + t2 = 0 + 1.2
1.6t + t2 = 0 + 1.2

Combine like terms: 0 + 1.2 = 1.2
1.6t + t2 = 1.2

The t term is 1.6t.  Take half its coefficient (0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
1.6t + 0.64 + t2 = 1.2 + 0.64

Reorder the terms:
0.64 + 1.6t + t2 = 1.2 + 0.64

Combine like terms: 1.2 + 0.64 = 1.84
0.64 + 1.6t + t2 = 1.84

Factor a perfect square on the left side:
(t + 0.8)(t + 0.8) = 1.84

Calculate the square root of the right side: 1.356465997

Break this problem into two subproblems by setting 
(t + 0.8) equal to 1.356465997 and -1.356465997.

Subproblem 1

t + 0.8 = 1.356465997 Simplifying t + 0.8 = 1.356465997 Reorder the terms: 0.8 + t = 1.356465997 Solving 0.8 + t = 1.356465997 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + t = 1.356465997 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + t = 1.356465997 + -0.8 t = 1.356465997 + -0.8 Combine like terms: 1.356465997 + -0.8 = 0.556465997 t = 0.556465997 Simplifying t = 0.556465997

Subproblem 2

t + 0.8 = -1.356465997 Simplifying t + 0.8 = -1.356465997 Reorder the terms: 0.8 + t = -1.356465997 Solving 0.8 + t = -1.356465997 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + t = -1.356465997 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + t = -1.356465997 + -0.8 t = -1.356465997 + -0.8 Combine like terms: -1.356465997 + -0.8 = -2.156465997 t = -2.156465997 Simplifying t = -2.156465997

Solution

The solution to the problem is based on the solutions from the subproblems. t = {0.556465997, -2.156465997}

See similar equations:

| 2+(8-4)+9*3= | | f(X+3)=x+3+x+3-1 | | f(6)=-3(6)-5 | | 20=7y+12y | | 0=y^2-3y-36 | | 3х=1/9 | | 3^х=1/9 | | 380*108*x=0 | | 380*1.08*x=0 | | 3y+2y=50 | | 0.05^2/8 | | 0.005^1/10 | | (3a-2)(4a+1)= | | 3s+1=16-2s | | 3y+y=9 | | conjugate(z)=0 | | z^3=2a | | 2xX-14=28 | | 10(1+x)=100 | | 12-2(x+1)=4 | | 2(x+7)+3x=39 | | 3(x+1)+5=17 | | 10(1+x)-x=82 | | 2a^2-a-288=0 | | =7+8*15-10 | | 3(x-4)+x=60 | | 6(x-3)=63 | | x(x-4)=6+x | | 2x+y+2z=2 | | x-y+3z=2 | | 4+4(5x-5)=6-3(2x+1) | | 7+2(5x-6)=6-4(2x+1) |

Equations solver categories