(3t-1)(2t+7)-(t+1)(6t-5)=16

Simple and best practice solution for (3t-1)(2t+7)-(t+1)(6t-5)=16 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 (3t-1)(2t+7)-(t+1)(6t-5)=16 equation: 


Simplifying
(3t + -1)(2t + 7) + -1(t + 1)(6t + -5) = 16

Reorder the terms:
(-1 + 3t)(2t + 7) + -1(t + 1)(6t + -5) = 16

Reorder the terms:
(-1 + 3t)(7 + 2t) + -1(t + 1)(6t + -5) = 16

Multiply (-1 + 3t) * (7 + 2t)
(-1(7 + 2t) + 3t * (7 + 2t)) + -1(t + 1)(6t + -5) = 16
((7 * -1 + 2t * -1) + 3t * (7 + 2t)) + -1(t + 1)(6t + -5) = 16
((-7 + -2t) + 3t * (7 + 2t)) + -1(t + 1)(6t + -5) = 16
(-7 + -2t + (7 * 3t + 2t * 3t)) + -1(t + 1)(6t + -5) = 16
(-7 + -2t + (21t + 6t2)) + -1(t + 1)(6t + -5) = 16

Combine like terms: -2t + 21t = 19t
(-7 + 19t + 6t2) + -1(t + 1)(6t + -5) = 16

Reorder the terms:
-7 + 19t + 6t2 + -1(1 + t)(6t + -5) = 16

Reorder the terms:
-7 + 19t + 6t2 + -1(1 + t)(-5 + 6t) = 16

Multiply (1 + t) * (-5 + 6t)
-7 + 19t + 6t2 + -1(1(-5 + 6t) + t(-5 + 6t)) = 16
-7 + 19t + 6t2 + -1((-5 * 1 + 6t * 1) + t(-5 + 6t)) = 16
-7 + 19t + 6t2 + -1((-5 + 6t) + t(-5 + 6t)) = 16
-7 + 19t + 6t2 + -1(-5 + 6t + (-5 * t + 6t * t)) = 16
-7 + 19t + 6t2 + -1(-5 + 6t + (-5t + 6t2)) = 16

Combine like terms: 6t + -5t = 1t
-7 + 19t + 6t2 + -1(-5 + 1t + 6t2) = 16
-7 + 19t + 6t2 + (-5 * -1 + 1t * -1 + 6t2 * -1) = 16
-7 + 19t + 6t2 + (5 + -1t + -6t2) = 16

Reorder the terms:
-7 + 5 + 19t + -1t + 6t2 + -6t2 = 16

Combine like terms: -7 + 5 = -2
-2 + 19t + -1t + 6t2 + -6t2 = 16

Combine like terms: 19t + -1t = 18t
-2 + 18t + 6t2 + -6t2 = 16

Combine like terms: 6t2 + -6t2 = 0
-2 + 18t + 0 = 16
-2 + 18t = 16

Solving
-2 + 18t = 16

Solving for variable 't'.

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

Add '2' to each side of the equation.
-2 + 2 + 18t = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 18t = 16 + 2
18t = 16 + 2

Combine like terms: 16 + 2 = 18
18t = 18

Divide each side by '18'.
t = 1

Simplifying
t = 1

See similar equations:

| 7x+8x-42=63-6x | | 1+3(7y-2)=5y-(2-17y) | | ax+b=(3x-a) | | 4r+41=5r+104 | | -2x-5=2-4x-x+1 | | 7+18m=35+11m | | -4x-94=104+7x | | 9(5x+3)=-5(-9x-3) | | -53-8x=-3x+72 | | -4x-20=5x-2 | | y+1=-3(x-3) | | -8-1y+3y=3(y-4) | | -178+2x=65+11x | | 5=7(n-9) | | -14+5x=6x+9 | | -2b+4.1=2.9 | | 7(x+3)-3(x-2)=16(2x-3) | | 23=8+25x | | 175m-75m+48000=50250-150m | | -133-10x=2x+119 | | 75=-5a(a+5) | | 3+9y=27 | | 16x=287 | | 6(x-3)=16 | | 6t^2-42t+60=0 | | 1-3w=9w+7 | | p+1=4p+8 | | 3(2x-1)-5(12x-7)+7(6x-1)=122 | | X+3(x)=140 | | 4x+3X^2+11=0 | | 3x+3=3x+4 | | -21-5x=15-8x |

Equations solver categories