6x^2+5xt-6t^2=0

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


Simplifying
6x2 + 5xt + -6t2 = 0

Reorder the terms:
5tx + -6t2 + 6x2 = 0

Solving
5tx + -6t2 + 6x2 = 0

Solving for variable 't'.

Factor a trinomial.
(-3t + -2x)(2t + -3x) = 0


Subproblem 1
Set the factor '(-3t + -2x)' equal to zero and attempt to solve:

Simplifying
-3t + -2x = 0

Solving
-3t + -2x = 0

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

Add '2x' to each side of the equation.
-3t + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
-3t + 0 = 0 + 2x
-3t = 0 + 2x
Remove the zero:
-3t = 2x

Divide each side by '-3'.
t = -0.6666666667x

Simplifying
t = -0.6666666667x

Subproblem 2
Set the factor '(2t + -3x)' equal to zero and attempt to solve:

Simplifying
2t + -3x = 0

Solving
2t + -3x = 0

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

Add '3x' to each side of the equation.
2t + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
2t + 0 = 0 + 3x
2t = 0 + 3x
Remove the zero:
2t = 3x

Divide each side by '2'.
t = 1.5x

Simplifying
t = 1.5x
Solution
t = {-0.6666666667x, 1.5x}

See similar equations:

| r-r+r^6= | | r+r^6= | | d-7/2=5 | | 3.08*2.9= | | 3n-25=x | | 3.75x+50.00=400.00 | | 8x^3-15x^2+4x=0 | | 3.75x+50.00=800.00 | | |x-1/2|1/2 | | 3.75x+50.00=237.50 | | 3x-2/x-1=8 | | 3x-2/x-1=8 | | 3.333r*r^6= | | 4x^2+8xy-3xy^2= | | 1.2x+2x=0 | | 2k+2k+4k= | | -n+4=n-4 | | 312.5X=27750+200X | | 3(2x+4)-6=-30 | | 6b+4b-24=12 | | -7-3x=-4x+1 | | 0.4(6x+8)=0.3-(x-3) | | p-8=7p-8 | | 8+7x=1+6x | | 8x6/4=? | | 2z^2+7=19 | | 1+3x=-13+5x | | 4(2x-1)=5 | | 2rs+6rs= | | 1/5(2x-1))=5 | | 4.4465-27.31= | | 142-(6x+3)=6(x+8)+x |

Equations solver categories