125=5t^2+30t

Simple and best practice solution for 125=5t^2+30t 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 125=5t^2+30t equation:


Simplifying
125 = 5t2 + 30t

Reorder the terms:
125 = 30t + 5t2

Solving
125 = 30t + 5t2

Solving for variable 't'.

Reorder the terms:
125 + -30t + -5t2 = 30t + -30t + 5t2 + -5t2

Combine like terms: 30t + -30t = 0
125 + -30t + -5t2 = 0 + 5t2 + -5t2
125 + -30t + -5t2 = 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
125 + -30t + -5t2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(25 + -6t + -1t2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(25 + -6t + -1t2)' equal to zero and attempt to solve: Simplifying 25 + -6t + -1t2 = 0 Solving 25 + -6t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -25 + 6t + t2 = 0 Move the constant term to the right: Add '25' to each side of the equation. -25 + 6t + 25 + t2 = 0 + 25 Reorder the terms: -25 + 25 + 6t + t2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 6t + t2 = 0 + 25 6t + t2 = 0 + 25 Combine like terms: 0 + 25 = 25 6t + t2 = 25 The t term is 6t. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6t + 9 + t2 = 25 + 9 Reorder the terms: 9 + 6t + t2 = 25 + 9 Combine like terms: 25 + 9 = 34 9 + 6t + t2 = 34 Factor a perfect square on the left side: (t + 3)(t + 3) = 34 Calculate the square root of the right side: 5.830951895 Break this problem into two subproblems by setting (t + 3) equal to 5.830951895 and -5.830951895.

Subproblem 1

t + 3 = 5.830951895 Simplifying t + 3 = 5.830951895 Reorder the terms: 3 + t = 5.830951895 Solving 3 + t = 5.830951895 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + t = 5.830951895 + -3 Combine like terms: 3 + -3 = 0 0 + t = 5.830951895 + -3 t = 5.830951895 + -3 Combine like terms: 5.830951895 + -3 = 2.830951895 t = 2.830951895 Simplifying t = 2.830951895

Subproblem 2

t + 3 = -5.830951895 Simplifying t + 3 = -5.830951895 Reorder the terms: 3 + t = -5.830951895 Solving 3 + t = -5.830951895 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + t = -5.830951895 + -3 Combine like terms: 3 + -3 = 0 0 + t = -5.830951895 + -3 t = -5.830951895 + -3 Combine like terms: -5.830951895 + -3 = -8.830951895 t = -8.830951895 Simplifying t = -8.830951895

Solution

The solution to the problem is based on the solutions from the subproblems. t = {2.830951895, -8.830951895}

Solution

t = {2.830951895, -8.830951895}

See similar equations:

| 35t=36 | | 2x-1/x=3 | | 7x+4y=68 | | 3-147=0 | | 45=5t^2+30t | | 5[x-(4x-5)]=7-8x | | x25/21 | | y--1=(2/3)(x-4) | | 5x^2-10=50 | | 1.08(2t+2.50)+3=t | | (2x+5w)(7x-w)= | | Y+5=-3(x-7) | | 14/7*8/7 | | 10-3x4x-5/-3 | | (x/9)=(x/10)-3 | | 10/5*6/8 | | a=11+b | | 2a^2+2ab+a^2+b^2+2ab-b^2=3a^2+4ab | | 2a^2+ab+a^2+b^2+2ab-b^2=3a^2+4ab | | 2x(2x-3)/5=20 | | 2a^2+a^2=3a^2 | | 1/18*2/3 | | x(6x-2)=(6x+8)(x-2) | | 2a*(a-b)=a^2-3ab | | 50-3m=8 | | 9+6n=4n+9 | | =4(x-5y)-5(2y-3x)-(2x-5y) | | x+.40=60 | | 8x-10-20=7x+30 | | 8/3-6x/3 | | 2m=15-m | | memfaktorkanbentukax2+bx+c denganatidaksamademgan1 |

Equations solver categories