(3t+7)(6t-18)=0

Simple and best practice solution for (3t+7)(6t-18)=0 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+7)(6t-18)=0 equation: 


Simplifying
(3t + 7)(6t + -18) = 0

Reorder the terms:
(7 + 3t)(6t + -18) = 0

Reorder the terms:
(7 + 3t)(-18 + 6t) = 0

Multiply (7 + 3t) * (-18 + 6t)
(7(-18 + 6t) + 3t * (-18 + 6t)) = 0
((-18 * 7 + 6t * 7) + 3t * (-18 + 6t)) = 0
((-126 + 42t) + 3t * (-18 + 6t)) = 0
(-126 + 42t + (-18 * 3t + 6t * 3t)) = 0
(-126 + 42t + (-54t + 18t2)) = 0

Combine like terms: 42t + -54t = -12t
(-126 + -12t + 18t2) = 0

Solving
-126 + -12t + 18t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-21 + -2t + 3t2) = 0

Factor a trinomial.
6((-7 + -3t)(3 + -1t)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-7 + -3t)' equal to zero and attempt to solve:

Simplifying
-7 + -3t = 0

Solving
-7 + -3t = 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 + -3t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3t = 0 + 7
-3t = 0 + 7

Combine like terms: 0 + 7 = 7
-3t = 7

Divide each side by '-3'.
t = -2.333333333

Simplifying
t = -2.333333333

Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {-2.333333333, 3}

See similar equations:

| 16x+32=144 | | 3m+0.25=2.5 | | 3=n-15 | | 764.7-45.39= | | 3(2x-1)+5=-22 | | 3e^5x=128 | | -4p+19=25 | | -n^2+15n-56=0 | | 764.7+45.39= | | 30y+14-17=8x+9 | | 7n-14=63 | | -6x^2=7x-10 | | -4n(4n-1)=0 | | 4-12+4x=4x+2-10 | | 14x-20x=6(3-2x) | | .009x=20 | | 6x-2x+10=50 | | 30y-14+17=8y+9 | | 8x-10-3x=60 | | 40-13x-42=0 | | 3a+7b-10b+6a= | | x=417.6 | | 3(x-7)-4=-5(-5+3)-6x | | 6700+25x=10500 | | 17d+27d+18d=300 | | -8y+2=2 | | 2b+24=4b+6 | | 18=2b+7b | | 0.8x+0.15=2x-1.35 | | 10+5x=5x+20 | | 6x-3=9x+4-1 | | 6x-4(2x-5)=68 |

Equations solver categories