-16t^2+96t+160=0

Simple and best practice solution for -16t^2+96t+160=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+96t+160=0 equation:


Simplifying
-16t2 + 96t + 160 = 0

Reorder the terms:
160 + 96t + -16t2 = 0

Solving
160 + 96t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(10 + 6t + -1t2) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(10 + 6t + -1t2)' equal to zero and attempt to solve: Simplifying 10 + 6t + -1t2 = 0 Solving 10 + 6t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -10 + -6t + t2 = 0 Move the constant term to the right: Add '10' to each side of the equation. -10 + -6t + 10 + t2 = 0 + 10 Reorder the terms: -10 + 10 + -6t + t2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -6t + t2 = 0 + 10 -6t + t2 = 0 + 10 Combine like terms: 0 + 10 = 10 -6t + t2 = 10 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 = 10 + 9 Reorder the terms: 9 + -6t + t2 = 10 + 9 Combine like terms: 10 + 9 = 19 9 + -6t + t2 = 19 Factor a perfect square on the left side: (t + -3)(t + -3) = 19 Calculate the square root of the right side: 4.358898944 Break this problem into two subproblems by setting (t + -3) equal to 4.358898944 and -4.358898944.

Subproblem 1

t + -3 = 4.358898944 Simplifying t + -3 = 4.358898944 Reorder the terms: -3 + t = 4.358898944 Solving -3 + t = 4.358898944 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 = 4.358898944 + 3 Combine like terms: -3 + 3 = 0 0 + t = 4.358898944 + 3 t = 4.358898944 + 3 Combine like terms: 4.358898944 + 3 = 7.358898944 t = 7.358898944 Simplifying t = 7.358898944

Subproblem 2

t + -3 = -4.358898944 Simplifying t + -3 = -4.358898944 Reorder the terms: -3 + t = -4.358898944 Solving -3 + t = -4.358898944 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 = -4.358898944 + 3 Combine like terms: -3 + 3 = 0 0 + t = -4.358898944 + 3 t = -4.358898944 + 3 Combine like terms: -4.358898944 + 3 = -1.358898944 t = -1.358898944 Simplifying t = -1.358898944

Solution

The solution to the problem is based on the solutions from the subproblems. t = {7.358898944, -1.358898944}

Solution

t = {7.358898944, -1.358898944}

See similar equations:

| (w+4)(w+6w-11)= | | 1=(2.2*(10^-5))*((.15-2x)^2)/(x(2x)^2) | | onehalf(4d-2)=d+5 | | 3(x+2y)+5(3-5x)= | | -7x+7=-5-5x | | e^3x-7=e^5x-15 | | 3+12-1/2w=19 | | 4x-10=3x-1 | | 7x+5=10[x-7]-3x | | 4x-16=8x-10 | | 8-(2x-4)+10=20 | | 0.11x+0.5(x-4)=0.01(3x-1) | | 2a-b=50 | | 2.89=0.85b | | 30m^5+24m^4n-35m^2n^2-28n^3=0 | | 4x+20=-7x+29 | | 6=b+(-4) | | 7/x-4*8=15/x-4 | | 3[1+2f]-5=6f-2 | | 1.5x-5y=-3 | | 3(x-4)=3x-22 | | m+6-88+50+m= | | 6x+5=2(x-3) | | 2(m+4)=25 | | n/4=1/2 | | 8(0)-6=2(0) | | -x+6=7-2x | | -1.691-6b=106.308 | | 6+4a=22 | | 2.89=0.89b | | 2.6m+1.2=-0.2(7m+9) | | 120x+5=15+x |

Equations solver categories