(3t^2)+8=(-5t)

Simple and best practice solution for (3t^2)+8=(-5t) 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 (3t^2)+8=(-5t) equation: 


Simplifying
(3t2) + 8 = (-5t)

Reorder the terms:
8 + (3t2) = (-5t)

Solving
8 + (3t2) = (-5t)

Solving for variable 't'.

Reorder the terms:
8 + (5t) + (3t2) = (-5t) + (5t)

Combine like terms: (-5t) + (5t) = 0
8 + (5t) + (3t2) = 0

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

Divide each side by '3'.
2.666666667 + (1.666666667t) + t2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + (1.666666667t) + -2.666666667 + t2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + (1.666666667t) + t2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + (1.666666667t) + t2 = 0 + -2.666666667
(1.666666667t) + t2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
(1.666666667t) + t2 = -2.666666667

The t term is (1.666666667t).  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
(1.666666667t) + 0.6944444447 + t2 = -2.666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + (1.666666667t) + t2 = -2.666666667 + 0.6944444447

Combine like terms: -2.666666667 + 0.6944444447 = -1.9722222223
0.6944444447 + (1.666666667t) + t2 = -1.9722222223

Factor a perfect square on the left side:
((t) + 0.8333333335)((t) + 0.8333333335) = -1.9722222223

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -13x+26=11-8x | | 3t^2+8=-5t | | -6y+3=21 | | 9k+5=17-3k | | 12s^2+4s=0 | | 10x-42=6x+10 | | 2(x+1)=y+3 | | x(x-20)=-100 | | 7x^3+15x^2-18x=0 | | 4(x+2)-(2x-8)= | | 9k+5=7-3k | | -3x^2+48=0 | | -44-9x=-31-3x | | 60x=50(x+36) | | 2x(3+5)=25 | | 2x(3+5)= | | 3y-3+9=8y+6-5y | | Z^2+11z+24= | | 72x^3+32x^4-16x^5=0 | | 12b^3-9b^2=0 | | a^2-3a-40=0 | | X^3-3y^3z^2= | | a^2+2a-17=-2 | | 8x^2+22x+121=0 | | 5x=2(3+x) | | 7x=3x^2-6 | | (x)*(x^2+3)=35 | | (b+3)(b-6)=0 | | x^3+3x-35=0 | | 5x^2+11x=-2 | | 3m-35=21+14m | | 7x+12y=200 |

Equations solver categories