2t^2-4t+3t^3=

Simple and best practice solution for 2t^2-4t+3t^3= 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^2-4t+3t^3= equation:


Simplifying
2t2 + -4t + 3t3 = 0

Reorder the terms:
-4t + 2t2 + 3t3 = 0

Solving
-4t + 2t2 + 3t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-4 + 2t + 3t2) = 0

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 '(-4 + 2t + 3t2)' equal to zero and attempt to solve: Simplifying -4 + 2t + 3t2 = 0 Solving -4 + 2t + 3t2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1.333333333 + 0.6666666667t + t2 = 0 Move the constant term to the right: Add '1.333333333' to each side of the equation. -1.333333333 + 0.6666666667t + 1.333333333 + t2 = 0 + 1.333333333 Reorder the terms: -1.333333333 + 1.333333333 + 0.6666666667t + t2 = 0 + 1.333333333 Combine like terms: -1.333333333 + 1.333333333 = 0.000000000 0.000000000 + 0.6666666667t + t2 = 0 + 1.333333333 0.6666666667t + t2 = 0 + 1.333333333 Combine like terms: 0 + 1.333333333 = 1.333333333 0.6666666667t + t2 = 1.333333333 The t term is 0.6666666667t. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667t + 0.1111111112 + t2 = 1.333333333 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667t + t2 = 1.333333333 + 0.1111111112 Combine like terms: 1.333333333 + 0.1111111112 = 1.4444444442 0.1111111112 + 0.6666666667t + t2 = 1.4444444442 Factor a perfect square on the left side: (t + 0.3333333334)(t + 0.3333333334) = 1.4444444442 Calculate the square root of the right side: 1.201850425 Break this problem into two subproblems by setting (t + 0.3333333334) equal to 1.201850425 and -1.201850425.

Subproblem 1

t + 0.3333333334 = 1.201850425 Simplifying t + 0.3333333334 = 1.201850425 Reorder the terms: 0.3333333334 + t = 1.201850425 Solving 0.3333333334 + t = 1.201850425 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + t = 1.201850425 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + t = 1.201850425 + -0.3333333334 t = 1.201850425 + -0.3333333334 Combine like terms: 1.201850425 + -0.3333333334 = 0.8685170916 t = 0.8685170916 Simplifying t = 0.8685170916

Subproblem 2

t + 0.3333333334 = -1.201850425 Simplifying t + 0.3333333334 = -1.201850425 Reorder the terms: 0.3333333334 + t = -1.201850425 Solving 0.3333333334 + t = -1.201850425 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + t = -1.201850425 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + t = -1.201850425 + -0.3333333334 t = -1.201850425 + -0.3333333334 Combine like terms: -1.201850425 + -0.3333333334 = -1.5351837584 t = -1.5351837584 Simplifying t = -1.5351837584

Solution

The solution to the problem is based on the solutions from the subproblems. t = {0.8685170916, -1.5351837584}

Solution

t = {0, 0.8685170916, -1.5351837584}

See similar equations:

| 0.015-0.05x+2x^2=0 | | P=-Q^2+4Q+10 | | 15a^2-37a+20=0 | | 2x+3=x-8 | | k+4-3(k-12)=0 | | 5k-2/-8 | | 4x(x+2)=16x-3 | | -7x+28=0 | | -2y-19=5y+16 | | 1/5+1/3x=1/2x-1/4 | | 8x-4=8(x+4) | | 42*41/48 | | 7x-(3x+8)=4x-8 | | 12x^2-11x-36=0 | | x-1+x=5 | | 4x^2-29x+13=6 | | 8x+10y=8 | | Y=3w+8 | | 2(x-3)+4=-2 | | 2x^3+13x^2+x-70=0 | | 2y-6=3y-4 | | (x+3)(x-1)/(x-10)(x+3) | | -7=x+48/-9 | | 5(x+3+6)-2(4+x+3)=1000 | | 9+2(4x-2)=-2(6x-5)+5x | | 7-(2z-5)=4-3z | | (x+3+6)-2(4+x+3)=1000 | | 5(3x+9)=-50+20 | | x-19=-11 | | .5-(3-x)=6.5 | | 5(x+3+6)-2(4+x+3)= | | -5(2x-9)+4x=6(x+6) |

Equations solver categories