2(2t^2+3t+5)-4(t^2+2t-1)=6

Simple and best practice solution for 2(2t^2+3t+5)-4(t^2+2t-1)=6 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 2(2t^2+3t+5)-4(t^2+2t-1)=6 equation: 


Simplifying
2(2t2 + 3t + 5) + -4(t2 + 2t + -1) = 6

Reorder the terms:
2(5 + 3t + 2t2) + -4(t2 + 2t + -1) = 6
(5 * 2 + 3t * 2 + 2t2 * 2) + -4(t2 + 2t + -1) = 6
(10 + 6t + 4t2) + -4(t2 + 2t + -1) = 6

Reorder the terms:
10 + 6t + 4t2 + -4(-1 + 2t + t2) = 6
10 + 6t + 4t2 + (-1 * -4 + 2t * -4 + t2 * -4) = 6
10 + 6t + 4t2 + (4 + -8t + -4t2) = 6

Reorder the terms:
10 + 4 + 6t + -8t + 4t2 + -4t2 = 6

Combine like terms: 10 + 4 = 14
14 + 6t + -8t + 4t2 + -4t2 = 6

Combine like terms: 6t + -8t = -2t
14 + -2t + 4t2 + -4t2 = 6

Combine like terms: 4t2 + -4t2 = 0
14 + -2t + 0 = 6
14 + -2t = 6

Solving
14 + -2t = 6

Solving for variable 't'.

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

Add '-14' to each side of the equation.
14 + -14 + -2t = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -2t = 6 + -14
-2t = 6 + -14

Combine like terms: 6 + -14 = -8
-2t = -8

Divide each side by '-2'.
t = 4

Simplifying
t = 4

See similar equations:

| (13/3)*(37/7) | | 4/3-1/4 | | y-2/3=-5/12 | | 10x^2+21x=-9 | | 11x+30=180 | | [4(1/3)]*[5(2/7)] | | 2(2t^2+3t+5)+-4(t^2+2t+-1)=6 | | X+-9=-18 | | 40+2=20+3 | | 9x+63=9x+81 | | 12f+15= | | 8x^2-16x+10=0 | | (4/7)*(3/11) | | 2x+1.50-x+0.49= | | -11/6*-1/13= | | 12y^2-y=20 | | 2W+3Z=17 | | 3y^2-8y-4=0 | | y=5*sin(3x) | | x(2)-9=0 | | f(2n)=f(n) | | 14w-7w=35 | | 1x+12=-11 | | (-12x*x)-11x=-15 | | 12x+8-x=11+1 | | W=AW | | 6c^2-12c=18 | | 4t^2+5t+10-4t^2+16t-4=6 | | 8a-3=7/13 | | -4A+B=5 | | (-216x^5)^(2/3) | | (5x*x)-5x-30=0 |

Equations solver categories