135=-9t^2+72t

Simple and best practice solution for 135=-9t^2+72t 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 135=-9t^2+72t equation:


Simplifying
135 = -9t2 + 72t

Reorder the terms:
135 = 72t + -9t2

Solving
135 = 72t + -9t2

Solving for variable 't'.

Reorder the terms:
135 + -72t + 9t2 = 72t + -72t + -9t2 + 9t2

Combine like terms: 72t + -72t = 0
135 + -72t + 9t2 = 0 + -9t2 + 9t2
135 + -72t + 9t2 = -9t2 + 9t2

Combine like terms: -9t2 + 9t2 = 0
135 + -72t + 9t2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(15 + -8t + t2) = 0

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

Ignore the factor 9.

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5

Solution

t = {3, 5}

See similar equations:

| -x+3+3x=-3 | | 74=g+25 | | 5x(3+x)=25 | | 5x-9x+23=2x+29 | | 5=x+18 | | f(a)=2a-1andg(a)2theng(f(a)) | | -180=18r | | x+8=-5x | | .6+x=-.33 | | -2q=-5q+6 | | 4+2y+2x-3=5 | | 2q=-5q+6 | | -4.7+8.6=-29.64 | | 4x-6x+26=3x+31 | | -6x-x+10=15-5-7x | | 0=x^3-(15)x^2+450 | | -3x-10x=-78 | | e^6X=3 | | 5Y-25=2Y+23 | | 3x-3(6x-14)=162 | | 51=-2y+17 | | 3x-2(6x-14)=162 | | 10m+2=3-4m+6m | | -10=-10+8x | | 3x+12=-3 | | 6h+16=9+5h | | 14-6x=-52 | | x^3+4x^2-32x-35=0 | | -2f=-16f-14 | | -2=-16f-14 | | -2=16f-14 | | bx-2b=2a-2x |

Equations solver categories