-98=4.9t(8-t)

Simple and best practice solution for -98=4.9t(8-t) 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 -98=4.9t(8-t) equation:


Simplifying
-98 = 4.9t(8 + -1t)
-98 = (8 * 4.9t + -1t * 4.9t)
-98 = (39.2t + -4.9t2)

Solving
-98 = 39.2t + -4.9t2

Solving for variable 't'.

Reorder the terms:
-98 + -39.2t + 4.9t2 = 39.2t + -39.2t + -4.9t2 + 4.9t2

Combine like terms: 39.2t + -39.2t = 0.0
-98 + -39.2t + 4.9t2 = 0.0 + -4.9t2 + 4.9t2
-98 + -39.2t + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
-98 + -39.2t + 4.9t2 = 0.0

Begin completing the square.  Divide all terms by
4.9 the coefficient of the squared term: 

Divide each side by '4.9'.
-20 + -8t + t2 = 0

Move the constant term to the right:

Add '20' to each side of the equation.
-20 + -8t + 20 + t2 = 0 + 20

Reorder the terms:
-20 + 20 + -8t + t2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -8t + t2 = 0 + 20
-8t + t2 = 0 + 20

Combine like terms: 0 + 20 = 20
-8t + t2 = 20

The t term is -8t.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8t + 16 + t2 = 20 + 16

Reorder the terms:
16 + -8t + t2 = 20 + 16

Combine like terms: 20 + 16 = 36
16 + -8t + t2 = 36

Factor a perfect square on the left side:
(t + -4)(t + -4) = 36

Calculate the square root of the right side: 6

Break this problem into two subproblems by setting 
(t + -4) equal to 6 and -6.

Subproblem 1

t + -4 = 6 Simplifying t + -4 = 6 Reorder the terms: -4 + t = 6 Solving -4 + t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 6 + 4 Combine like terms: -4 + 4 = 0 0 + t = 6 + 4 t = 6 + 4 Combine like terms: 6 + 4 = 10 t = 10 Simplifying t = 10

Subproblem 2

t + -4 = -6 Simplifying t + -4 = -6 Reorder the terms: -4 + t = -6 Solving -4 + t = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = -6 + 4 Combine like terms: -4 + 4 = 0 0 + t = -6 + 4 t = -6 + 4 Combine like terms: -6 + 4 = -2 t = -2 Simplifying t = -2

Solution

The solution to the problem is based on the solutions from the subproblems. t = {10, -2}

See similar equations:

| -15x=-4x^2+25 | | 2x^2-8x-14=0 | | 4x^2+12x+9-(9x^2+42x+49)=0 | | -6f+13=2f+11 | | 0.9n=18.0 | | y=76+64+93+80 | | 16x^3-20x^2=6x | | 7z-z=48 | | 3z-6=15 | | 7y-4=5y+14 | | -23+68= | | -3(4)(-6)= | | 0=-3n^2+11n+4 | | y+2y-7=5y+1 | | x^2+kx+5=0 | | 2x^2+20x+82=0 | | -6(-4)= | | 7+3(6-4n)=-2n | | y+2=0.923(x+7) | | 10x+2y=-6 | | x^2-14x=11 | | ln(3x+7)=ln(6x-2) | | -(35)= | | 1960=4.9t(50-t) | | 0=4.9t(400-t) | | 5x+4x^2-57=0 | | y+2=0.92(x+7) | | 572-(-25)= | | 15y=3(y+8) | | x=1/2(7x-20) | | m=5a | | 6(-10)(-3)= |

Equations solver categories