(2t-3)(3t-2)=0

Simple and best practice solution for (2t-3)(3t-2)=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 (2t-3)(3t-2)=0 equation:


Simplifying
(2t + -3)(3t + -2) = 0

Reorder the terms:
(-3 + 2t)(3t + -2) = 0

Reorder the terms:
(-3 + 2t)(-2 + 3t) = 0

Multiply (-3 + 2t) * (-2 + 3t)
(-3(-2 + 3t) + 2t * (-2 + 3t)) = 0
((-2 * -3 + 3t * -3) + 2t * (-2 + 3t)) = 0
((6 + -9t) + 2t * (-2 + 3t)) = 0
(6 + -9t + (-2 * 2t + 3t * 2t)) = 0
(6 + -9t + (-4t + 6t2)) = 0

Combine like terms: -9t + -4t = -13t
(6 + -13t + 6t2) = 0

Solving
6 + -13t + 6t2 = 0

Solving for variable 't'.

Factor a trinomial.
(2 + -3t)(3 + -2t) = 0

Subproblem 1

Set the factor '(2 + -3t)' equal to zero and attempt to solve: Simplifying 2 + -3t = 0 Solving 2 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = 0 + -2 -3t = 0 + -2 Combine like terms: 0 + -2 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667

Subproblem 2

Set the factor '(3 + -2t)' equal to zero and attempt to solve: Simplifying 3 + -2t = 0 Solving 3 + -2t = 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 + -2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 0 + -3 -2t = 0 + -3 Combine like terms: 0 + -3 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5

Solution

t = {0.6666666667, 1.5}

See similar equations:

| 10+6n=n-5 | | -4x+8=2x+12 | | 3x+12=7x-20 | | 4x+8=9x-17 | | 8x+11(x+100)=3608 | | 9n+7=-1 | | 4x+7=x+13 | | (-3y-5)-2y=2 | | 7+4x+2+6=4 | | 4(5x+5)=-20 | | -8(3x+7)-2(5x-9)=-4 | | -2(3z+7)=10 | | -2(4x+7)+6(5x-7)=10 | | 3x-4y=-8 | | 9x+23+2x=4x+37 | | 5x-8=4x+15 | | 3(x+7)-9(x+5)=18 | | -7(x+8)+2(x-4)=-14 | | 6(2x+8)-4(8x-5)=-12 | | 3(3x+4)=54+6x | | -3(2x+7)-2(3x-5)=25 | | 2=3(x+7)+7x | | 9x^2-28=0 | | -4(x+6)-3(x-8)=28 | | 72=4.5z | | 9x^2+45x=0 | | 2(x-9)-5(x+6)=-12 | | y-4y+3=-30 | | 13=4x-19 | | p+30.34=22.87 | | -3(x+9)-(x-7)=16 | | V^2+2v-3=0 |

Equations solver categories