6.75-6t+2t^2=0

Simple and best practice solution for 6.75-6t+2t^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 6.75-6t+2t^2=0 equation:


Simplifying
6.75 + -6t + 2t2 = 0

Solving
6.75 + -6t + 2t2 = 0

Solving for variable 't'.

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

Divide each side by '2'.
3.375 + -3t + t2 = 0

Move the constant term to the right:

Add '-3.375' to each side of the equation.
3.375 + -3t + -3.375 + t2 = 0 + -3.375

Reorder the terms:
3.375 + -3.375 + -3t + t2 = 0 + -3.375

Combine like terms: 3.375 + -3.375 = 0.000
0.000 + -3t + t2 = 0 + -3.375
-3t + t2 = 0 + -3.375

Combine like terms: 0 + -3.375 = -3.375
-3t + t2 = -3.375

The t term is -3t.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3t + 2.25 + t2 = -3.375 + 2.25

Reorder the terms:
2.25 + -3t + t2 = -3.375 + 2.25

Combine like terms: -3.375 + 2.25 = -1.125
2.25 + -3t + t2 = -1.125

Factor a perfect square on the left side:
(t + -1.5)(t + -1.5) = -1.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 5(-3+4)=-2(-4-3)+3 | | 2x^2-104=0 | | 0.4x-1.6=2x | | 28x^2+16x-12=0 | | 5x^2/4x | | 154-7(2x+5)=301+6(x-1)-6 | | -4x^2+2x=0 | | 8(2x^3-9x^2+36)=0 | | 8x+3x=140 | | 3x^2-20+2x=0 | | 2(x-11)-8=19x-166 | | 14x=6x-24 | | (2+w)w+(10-w)w=48 | | ifh(x)=5x^2-7h(0) | | 4x+10-3x=14 | | .61=ln(y) | | 3r^2+18r+81=102 | | 3y-(-24)=-3 | | 3b^1/2*b^4/3 | | -5312.3+523.1a-7.5a^2=0 | | S-1.8x=6.3 | | 15x+x^2-64=0 | | 4(1/2x-6) | | 48+4y-15=13y-9-3y | | z(129)=-16.25 | | 3z-2.5=6.3z-17.35 | | h=fq | | 5x+21=180 | | 3x+2y+5z=62 | | 7(x-7)+3=8(x-3) | | -3287.3+523.1a-7.5a^2=0 | | 2(5t-7)=15t+8 |

Equations solver categories