(3c-4t)(3c+3t)=

Simple and best practice solution for (3c-4t)(3c+3t)= 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 (3c-4t)(3c+3t)= equation: 


Simplifying
(3c + -4t)(3c + 3t) = 0

Multiply (3c + -4t) * (3c + 3t)
(3c * (3c + 3t) + -4t * (3c + 3t)) = 0
((3c * 3c + 3t * 3c) + -4t * (3c + 3t)) = 0

Reorder the terms:
((9ct + 9c2) + -4t * (3c + 3t)) = 0
((9ct + 9c2) + -4t * (3c + 3t)) = 0
(9ct + 9c2 + (3c * -4t + 3t * -4t)) = 0
(9ct + 9c2 + (-12ct + -12t2)) = 0

Reorder the terms:
(9ct + -12ct + 9c2 + -12t2) = 0

Combine like terms: 9ct + -12ct = -3ct
(-3ct + 9c2 + -12t2) = 0

Solving
-3ct + 9c2 + -12t2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1ct + 3c2 + -4t2) = 0

Factor a trinomial.
3((3c + -4t)(c + t)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(3c + -4t)' equal to zero and attempt to solve:

Simplifying
3c + -4t = 0

Solving
3c + -4t = 0

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

Add '4t' to each side of the equation.
3c + -4t + 4t = 0 + 4t

Combine like terms: -4t + 4t = 0
3c + 0 = 0 + 4t
3c = 0 + 4t
Remove the zero:
3c = 4t

Divide each side by '3'.
c = 1.333333333t

Simplifying
c = 1.333333333t

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

Simplifying
c + t = 0

Solving
c + t = 0

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

Add '-1t' to each side of the equation.
c + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
c + 0 = 0 + -1t
c = 0 + -1t
Remove the zero:
c = -1t

Simplifying
c = -1t
Solution
c = {1.333333333t, -1t}

See similar equations:

| 7/y=11/17 | | V=u-10t | | 6x-2+5x+13=180 | | y=-8y | | 17/5=x/13 | | 5(y-2)=4y-1 | | y=-3x+13 | | -3x+12=7 | | 4x^2-84=-5x | | 7(5x+3)=(2x+19) | | a+2ax= | | 4y^2-4y+6x-15=0 | | 3.7x-46=1.2x+9 | | -3.5x+2.2=-25.8 | | 2x^2-5x+a=0 | | 7(5x+4)=(2x+19) | | 7(3x/1)=-1 | | 4n^2+16n+12=0 | | 5x-7=0.5(10+2x) | | 5+-5=5+-7 | | X^3+12x^2+36=0 | | 2x-4x+2=6 | | -80/3=d | | -24x+25x^2=0 | | 3x-5.2=-0.2(x-6) | | 6x^2-102x+432=0 | | -(3x-5)-(2x-6)+1=-5(x-1)-3(x+2)+3 | | -8k/-7=8 | | Y+5=-18 | | 2b-52=22 | | 6(4x+2)=2(34+2) | | (2x+5)-(x+2)= |

Equations solver categories