12T^2-3+12(3-T)=T+(4T-1)(3T+1)

Simple and best practice solution for 12T^2-3+12(3-T)=T+(4T-1)(3T+1) 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 12T^2-3+12(3-T)=T+(4T-1)(3T+1) equation: 


Simplifying
12T2 + -3 + 12(3 + -1T) = T + (4T + -1)(3T + 1)
12T2 + -3 + (3 * 12 + -1T * 12) = T + (4T + -1)(3T + 1)
12T2 + -3 + (36 + -12T) = T + (4T + -1)(3T + 1)

Reorder the terms:
-3 + 36 + -12T + 12T2 = T + (4T + -1)(3T + 1)

Combine like terms: -3 + 36 = 33
33 + -12T + 12T2 = T + (4T + -1)(3T + 1)

Reorder the terms:
33 + -12T + 12T2 = T + (-1 + 4T)(3T + 1)

Reorder the terms:
33 + -12T + 12T2 = T + (-1 + 4T)(1 + 3T)

Multiply (-1 + 4T) * (1 + 3T)
33 + -12T + 12T2 = T + (-1(1 + 3T) + 4T * (1 + 3T))
33 + -12T + 12T2 = T + ((1 * -1 + 3T * -1) + 4T * (1 + 3T))
33 + -12T + 12T2 = T + ((-1 + -3T) + 4T * (1 + 3T))
33 + -12T + 12T2 = T + (-1 + -3T + (1 * 4T + 3T * 4T))
33 + -12T + 12T2 = T + (-1 + -3T + (4T + 12T2))

Combine like terms: -3T + 4T = 1T
33 + -12T + 12T2 = T + (-1 + 1T + 12T2)

Reorder the terms:
33 + -12T + 12T2 = -1 + T + 1T + 12T2

Combine like terms: T + 1T = 2T
33 + -12T + 12T2 = -1 + 2T + 12T2

Add '-12T2' to each side of the equation.
33 + -12T + 12T2 + -12T2 = -1 + 2T + 12T2 + -12T2

Combine like terms: 12T2 + -12T2 = 0
33 + -12T + 0 = -1 + 2T + 12T2 + -12T2
33 + -12T = -1 + 2T + 12T2 + -12T2

Combine like terms: 12T2 + -12T2 = 0
33 + -12T = -1 + 2T + 0
33 + -12T = -1 + 2T

Solving
33 + -12T = -1 + 2T

Solving for variable 'T'.

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

Add '-2T' to each side of the equation.
33 + -12T + -2T = -1 + 2T + -2T

Combine like terms: -12T + -2T = -14T
33 + -14T = -1 + 2T + -2T

Combine like terms: 2T + -2T = 0
33 + -14T = -1 + 0
33 + -14T = -1

Add '-33' to each side of the equation.
33 + -33 + -14T = -1 + -33

Combine like terms: 33 + -33 = 0
0 + -14T = -1 + -33
-14T = -1 + -33

Combine like terms: -1 + -33 = -34
-14T = -34

Divide each side by '-14'.
T = 2.428571429

Simplifying
T = 2.428571429

See similar equations:

| y+10=-6y+3 | | -1+15-7-7= | | 9(h+3)=72 | | -5(-2y)+4(0)=20 | | y=x^3-5x^2+7x-14 | | -5x^2+30x+35=0 | | 6x^2+x+15=0 | | 4x-7=x+18 | | 5(y-10)=4y | | 21-3x=3 | | 52=10+x | | y=22x-5 | | -1.29x^2*25-140x^2-4x=0.72 | | 5(6-3y)= | | 2x*2*197=120x-85*2 | | 8(h+3)=4 | | 8(x-4)=5x-3 | | 4(h+3)=4 | | (4)(4)(4)= | | 8x+5-3x+3=36 | | 6+3x-2x=5 | | 3(h+1)=12 | | x+16-12=23 | | 3(8-f)=21 | | 5(9-f)=20 | | 5(9-f)=21 | | (26*x^2)-(64*x)+128=0 | | (2+a)*(9+6)=43+2*(3+1)*(a+1) | | -5(2x-9)=(2x-8)-11 | | 9x^2+0x+8= | | 8x-7=-31 | | ln(x-1)-ln(x+2)=ln(4) |

Equations solver categories