36T^2=36T+7

Simple and best practice solution for 36T^2=36T+7 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 36T^2=36T+7 equation: 


Simplifying
36T2 = 36T + 7

Reorder the terms:
36T2 = 7 + 36T

Solving
36T2 = 7 + 36T

Solving for variable 'T'.

Reorder the terms:
-7 + -36T + 36T2 = 7 + 36T + -7 + -36T

Reorder the terms:
-7 + -36T + 36T2 = 7 + -7 + 36T + -36T

Combine like terms: 7 + -7 = 0
-7 + -36T + 36T2 = 0 + 36T + -36T
-7 + -36T + 36T2 = 36T + -36T

Combine like terms: 36T + -36T = 0
-7 + -36T + 36T2 = 0

Factor a trinomial.
(-1 + -6T)(7 + -6T) = 0


Subproblem 1
Set the factor '(-1 + -6T)' equal to zero and attempt to solve:

Simplifying
-1 + -6T = 0

Solving
-1 + -6T = 0

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

Add '1' to each side of the equation.
-1 + 1 + -6T = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6T = 0 + 1
-6T = 0 + 1

Combine like terms: 0 + 1 = 1
-6T = 1

Divide each side by '-6'.
T = -0.1666666667

Simplifying
T = -0.1666666667

Subproblem 2
Set the factor '(7 + -6T)' equal to zero and attempt to solve:

Simplifying
7 + -6T = 0

Solving
7 + -6T = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6T = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6T = 0 + -7
-6T = 0 + -7

Combine like terms: 0 + -7 = -7
-6T = -7

Divide each side by '-6'.
T = 1.166666667

Simplifying
T = 1.166666667
Solution
T = {-0.1666666667, 1.166666667}

See similar equations:

| -8+5(x-4)=12 | | 36T^2=36T | | 5(4-x)=13-3(5-2x) | | 5(2a+b)-2(3a-5b)= | | 25y^2-25yz+6z^2=0 | | 3x+6=10x-50 | | -(5r+11)-8r=-6(1+2r) | | 1a-6=-(9+a) | | 13x+-9+3x+-5=12+-4+3x | | -[4x-(2x+2)]=-3-[4(2x-4)-4x] | | 4(10x-3)=16(x+2.7) | | 6(n-4)=37 | | 4x^2-14xy+10y^2=0 | | -15+x-49+17= | | x-8/5=x-16 | | 2x^2+2x+7=y | | 2x^2-2x-2=x^2 | | -2(-5g+6k)-9(-2g+4k)=0 | | 6(1+4x)=-5(x-7) | | 25b^4-80b^2c^2+64c^4=0 | | 3x-8x-8x= | | 13x-9+3x-5=12-4+3x | | -[4x-2(2x+2)]=-3-4[4(2x-4)-4x] | | 12v+3v+5v-19v=8 | | 4x-8=8x-24-12 | | (57+x)+36= | | 6.4x-2.1x=68.8 | | 5x-4(3x+7)=-21 | | 5x+2(x+3)=41 | | 2(15x+7)=4(5x+19) | | 6x+4=x-11 | | 4a^2-4a-256=0 |

Equations solver categories