-2t^2+12t+9=28

Simple and best practice solution for -2t^2+12t+9=28 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 -2t^2+12t+9=28 equation:


Simplifying
-2t2 + 12t + 9 = 28

Reorder the terms:
9 + 12t + -2t2 = 28

Solving
9 + 12t + -2t2 = 28

Solving for variable 't'.

Reorder the terms:
9 + -28 + 12t + -2t2 = 28 + -28

Combine like terms: 9 + -28 = -19
-19 + 12t + -2t2 = 28 + -28

Combine like terms: 28 + -28 = 0
-19 + 12t + -2t2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
9.5 + -6t + t2 = 0

Move the constant term to the right:

Add '-9.5' to each side of the equation.
9.5 + -6t + -9.5 + t2 = 0 + -9.5

Reorder the terms:
9.5 + -9.5 + -6t + t2 = 0 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + -6t + t2 = 0 + -9.5
-6t + t2 = 0 + -9.5

Combine like terms: 0 + -9.5 = -9.5
-6t + t2 = -9.5

The t term is -6t.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6t + 9 + t2 = -9.5 + 9

Reorder the terms:
9 + -6t + t2 = -9.5 + 9

Combine like terms: -9.5 + 9 = -0.5
9 + -6t + t2 = -0.5

Factor a perfect square on the left side:
(t + -3)(t + -3) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| D-onethird=onesix | | x(x+5)(52-2x)=57 | | -3x^2-3x+6=-4 | | 12b=-56 | | -2t^2+12t+9=24.5 | | 4.2y-3.2y-8.4=4.7+8.1 | | -2t^2+12t+9=19 | | 4x+4x+3=2(4x+3) | | x+(x+1)=3x-11 | | 2(x-26)=3x | | 3x-(-4)=3 | | 2(10)-3=17 | | 210x+0.30x=x | | 21x-3+4y=180 | | 2(x^2+6x+9)=12 | | -7x+77=4x-132 | | f(-3)=9x-7 | | 2(7+3)=-t | | 60h-84=-36h-156 | | u+4/3=4/3 | | 6*(9+14)=(b*9)+(b*14) | | -w-1=0 | | 3x+7=-7+9 | | 5x(x-11)=0 | | 3x+x+0.6x=28 | | (x-3)(x-3)(x-1-i)=0 | | u-3/2=1/2 | | (x^3)-12=15 | | 20=5+5y | | 2(-9)-3=17 | | 4(4-w)=33(2w+2) | | 3(y-5)=2(y+3) |

Equations solver categories