9t-3t^3=9t^2

Simple and best practice solution for 9t-3t^3=9t^2 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-3t^3=9t^2 equation:


Simplifying
9t + -3t3 = 9t2

Solving
9t + -3t3 = 9t2

Solving for variable 't'.

Reorder the terms:
9t + -9t2 + -3t3 = 9t2 + -9t2

Combine like terms: 9t2 + -9t2 = 0
9t + -9t2 + -3t3 = 0

Factor out the Greatest Common Factor (GCF), '3t'.
3t(3 + -3t + -1t2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(3 + -3t + -1t2)' equal to zero and attempt to solve: Simplifying 3 + -3t + -1t2 = 0 Solving 3 + -3t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -3 + 3t + t2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + 3t + 3 + t2 = 0 + 3 Reorder the terms: -3 + 3 + 3t + t2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3t + t2 = 0 + 3 3t + t2 = 0 + 3 Combine like terms: 0 + 3 = 3 3t + t2 = 3 The t term is 3t. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3t + 2.25 + t2 = 3 + 2.25 Reorder the terms: 2.25 + 3t + t2 = 3 + 2.25 Combine like terms: 3 + 2.25 = 5.25 2.25 + 3t + t2 = 5.25 Factor a perfect square on the left side: (t + 1.5)(t + 1.5) = 5.25 Calculate the square root of the right side: 2.291287847 Break this problem into two subproblems by setting (t + 1.5) equal to 2.291287847 and -2.291287847.

Subproblem 1

t + 1.5 = 2.291287847 Simplifying t + 1.5 = 2.291287847 Reorder the terms: 1.5 + t = 2.291287847 Solving 1.5 + t = 2.291287847 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + t = 2.291287847 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + t = 2.291287847 + -1.5 t = 2.291287847 + -1.5 Combine like terms: 2.291287847 + -1.5 = 0.791287847 t = 0.791287847 Simplifying t = 0.791287847

Subproblem 2

t + 1.5 = -2.291287847 Simplifying t + 1.5 = -2.291287847 Reorder the terms: 1.5 + t = -2.291287847 Solving 1.5 + t = -2.291287847 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + t = -2.291287847 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + t = -2.291287847 + -1.5 t = -2.291287847 + -1.5 Combine like terms: -2.291287847 + -1.5 = -3.791287847 t = -3.791287847 Simplifying t = -3.791287847

Solution

The solution to the problem is based on the solutions from the subproblems. t = {0.791287847, -3.791287847}

Solution

t = {0, 0.791287847, -3.791287847}

See similar equations:

| y=16-0.5xi | | 9-2m=7+2(m+3) | | 3(4X+5)=5(2X+2) | | (X-5)2=114 | | X+5x+4x=480 | | 11a-4+7(7a+10)= | | 3(x-5)+8=2x+17 | | 3X+2=8X+4 | | 8ln(1x+9)-7ln(1x)= | | 8ln(x+9)-7ln(x)= | | 19x=13y | | 40000000X=5X+8 | | B=T-LcforT | | X+2(2x+1)=6 | | (X-5)(2x+9)=x^2-13x+40 | | G(3b)=4x+4 | | -153+45x+2x^2=0 | | -3=r+9.3 | | 5(2x+5)=-41+16 | | 11k=7.7 | | 7+6(x-9)=3-9(x-6) | | -2(2s-5)-10=-3(5s+-1)-5 | | -17=-4(2+8b)-3(b+3) | | .1428(x-16)=.1111x | | -2(5s-2)-4=-3(8s+5)-4 | | -(3p+4)=31 | | 11(x-5)-11=21x-106 | | 4x-3x+2= | | 4n+n-5=80 | | F(a+8)=(a+8)-7 | | 1073+1108+x=1000 | | 4(x-2)+2x=3x-23 |

Equations solver categories