16t^2-60t-6=0

Simple and best practice solution for 16t^2-60t-6=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 16t^2-60t-6=0 equation:


Simplifying
16t2 + -60t + -6 = 0

Reorder the terms:
-6 + -60t + 16t2 = 0

Solving
-6 + -60t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -30t + 8t2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -30t + 8t2)' equal to zero and attempt to solve: Simplifying -3 + -30t + 8t2 = 0 Solving -3 + -30t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -0.375 + -3.75t + t2 = 0 Move the constant term to the right: Add '0.375' to each side of the equation. -0.375 + -3.75t + 0.375 + t2 = 0 + 0.375 Reorder the terms: -0.375 + 0.375 + -3.75t + t2 = 0 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + -3.75t + t2 = 0 + 0.375 -3.75t + t2 = 0 + 0.375 Combine like terms: 0 + 0.375 = 0.375 -3.75t + t2 = 0.375 The t term is -3.75t. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75t + 3.515625 + t2 = 0.375 + 3.515625 Reorder the terms: 3.515625 + -3.75t + t2 = 0.375 + 3.515625 Combine like terms: 0.375 + 3.515625 = 3.890625 3.515625 + -3.75t + t2 = 3.890625 Factor a perfect square on the left side: (t + -1.875)(t + -1.875) = 3.890625 Calculate the square root of the right side: 1.97246673 Break this problem into two subproblems by setting (t + -1.875) equal to 1.97246673 and -1.97246673.

Subproblem 1

t + -1.875 = 1.97246673 Simplifying t + -1.875 = 1.97246673 Reorder the terms: -1.875 + t = 1.97246673 Solving -1.875 + t = 1.97246673 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.875' to each side of the equation. -1.875 + 1.875 + t = 1.97246673 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + t = 1.97246673 + 1.875 t = 1.97246673 + 1.875 Combine like terms: 1.97246673 + 1.875 = 3.84746673 t = 3.84746673 Simplifying t = 3.84746673

Subproblem 2

t + -1.875 = -1.97246673 Simplifying t + -1.875 = -1.97246673 Reorder the terms: -1.875 + t = -1.97246673 Solving -1.875 + t = -1.97246673 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.875' to each side of the equation. -1.875 + 1.875 + t = -1.97246673 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + t = -1.97246673 + 1.875 t = -1.97246673 + 1.875 Combine like terms: -1.97246673 + 1.875 = -0.09746673 t = -0.09746673 Simplifying t = -0.09746673

Solution

The solution to the problem is based on the solutions from the subproblems. t = {3.84746673, -0.09746673}

Solution

t = {3.84746673, -0.09746673}

See similar equations:

| 12x+7=15x-5 | | 20x+10=15x-5 | | 5(w-4)=3w-2 | | -.62x=-160 | | 8x+22=3+2 | | 11x+2=4(2x+1)-x+7 | | -7(1-5n)+n=173 | | f(x)=(3x+4)(x-2) | | 8(y^8-7)-5(y^8-7)= | | =33-x | | 5x-4y+12=0 | | 3(6x-5)=57 | | (-48)=(-5y)+8(-y) | | 20r=420 | | 8x-19=2x+11 | | (-3)+0(-3)+4= | | 1.76+2.5=-2.75x-3.98 | | S=2pi(r+h) | | x-5+3(x+3)+3x+6+5x+1=360 | | (3a+5b)(3a+5b)= | | 16x^2-30x-5=0 | | 3x=2x+400 | | S=2pi(r+h)forh | | 7=1+2b-6 | | 65748576483564835j=5674839210384758392 | | 64656783993m=4674773738383746674 | | 76m=345627 | | 1+8r+2r=21 | | 9x+5=-2x-6 | | 45h=30 | | X+9.7=-2.2 | | 9+1=12-2 |

Equations solver categories