(9t+4)(5t-15)=0

Simple and best practice solution for (9t+4)(5t-15)=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 (9t+4)(5t-15)=0 equation: 


Simplifying
(9t + 4)(5t + -15) = 0

Reorder the terms:
(4 + 9t)(5t + -15) = 0

Reorder the terms:
(4 + 9t)(-15 + 5t) = 0

Multiply (4 + 9t) * (-15 + 5t)
(4(-15 + 5t) + 9t * (-15 + 5t)) = 0
((-15 * 4 + 5t * 4) + 9t * (-15 + 5t)) = 0
((-60 + 20t) + 9t * (-15 + 5t)) = 0
(-60 + 20t + (-15 * 9t + 5t * 9t)) = 0
(-60 + 20t + (-135t + 45t2)) = 0

Combine like terms: 20t + -135t = -115t
(-60 + -115t + 45t2) = 0

Solving
-60 + -115t + 45t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -23t + 9t2) = 0

Factor a trinomial.
5((-4 + -9t)(3 + -1t)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4 + -9t)' equal to zero and attempt to solve:

Simplifying
-4 + -9t = 0

Solving
-4 + -9t = 0

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

Add '4' to each side of the equation.
-4 + 4 + -9t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9t = 0 + 4
-9t = 0 + 4

Combine like terms: 0 + 4 = 4
-9t = 4

Divide each side by '-9'.
t = -0.4444444444

Simplifying
t = -0.4444444444

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 = {-0.4444444444, 3}

See similar equations:

| (2x+4)=(3x+8) | | -135=-9n | | 5(3t-5)=6(2t+3) | | -1/3+2x=-5/6 | | 3/2x-19=18 | | m/-2=11 | | 81t^4-16u^4=0 | | 9x+14=3(3x+5) | | 6v^2-42v=0 | | 3a+7b=82 | | 3*42/6 | | -76=2(-8+5v) | | (x-4)/(x^2+2) | | 8x+8=7x+13 | | -3n-6=0 | | 4x-5+7=10 | | X=(4-1/3)/(1/3) | | -8r-8r=0 | | F=1/3(41)+1/3 | | F=1/3(12)+1/3 | | 4x-20=-6x | | (6k-7)(8k+5)= | | 3.333+y=6 | | 2x+37=5x+4 | | (2x-3)(2x-3)(2x-3)=0 | | 3x/-8=-3 | | 5=4x+8 | | 2f(5f-2)-10(f^2-3f+6)=-8f(f+4)+4(2f^2-7f) | | 54/9-32/9 | | 16x^4-9x^2= | | 5x=y+3/2 | | 16c^2+18+5=0 |

Equations solver categories