0=16t^2-112t+128

Simple and best practice solution for 0=16t^2-112t+128 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 0=16t^2-112t+128 equation:


Simplifying
0 = 16t2 + -112t + 128

Reorder the terms:
0 = 128 + -112t + 16t2

Solving
0 = 128 + -112t + 16t2

Solving for variable 't'.

Combine like terms: 0 + -128 = -128
-128 + 112t + -16t2 = 128 + -112t + 16t2 + -128 + 112t + -16t2

Reorder the terms:
-128 + 112t + -16t2 = 128 + -128 + -112t + 112t + 16t2 + -16t2

Combine like terms: 128 + -128 = 0
-128 + 112t + -16t2 = 0 + -112t + 112t + 16t2 + -16t2
-128 + 112t + -16t2 = -112t + 112t + 16t2 + -16t2

Combine like terms: -112t + 112t = 0
-128 + 112t + -16t2 = 0 + 16t2 + -16t2
-128 + 112t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
-128 + 112t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-8 + 7t + -1t2) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(-8 + 7t + -1t2)' equal to zero and attempt to solve: Simplifying -8 + 7t + -1t2 = 0 Solving -8 + 7t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 8 + -7t + t2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -7t + -8 + t2 = 0 + -8 Reorder the terms: 8 + -8 + -7t + t2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7t + t2 = 0 + -8 -7t + t2 = 0 + -8 Combine like terms: 0 + -8 = -8 -7t + t2 = -8 The t term is -7t. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7t + 12.25 + t2 = -8 + 12.25 Reorder the terms: 12.25 + -7t + t2 = -8 + 12.25 Combine like terms: -8 + 12.25 = 4.25 12.25 + -7t + t2 = 4.25 Factor a perfect square on the left side: (t + -3.5)(t + -3.5) = 4.25 Calculate the square root of the right side: 2.061552813 Break this problem into two subproblems by setting (t + -3.5) equal to 2.061552813 and -2.061552813.

Subproblem 1

t + -3.5 = 2.061552813 Simplifying t + -3.5 = 2.061552813 Reorder the terms: -3.5 + t = 2.061552813 Solving -3.5 + t = 2.061552813 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + t = 2.061552813 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + t = 2.061552813 + 3.5 t = 2.061552813 + 3.5 Combine like terms: 2.061552813 + 3.5 = 5.561552813 t = 5.561552813 Simplifying t = 5.561552813

Subproblem 2

t + -3.5 = -2.061552813 Simplifying t + -3.5 = -2.061552813 Reorder the terms: -3.5 + t = -2.061552813 Solving -3.5 + t = -2.061552813 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + t = -2.061552813 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + t = -2.061552813 + 3.5 t = -2.061552813 + 3.5 Combine like terms: -2.061552813 + 3.5 = 1.438447187 t = 1.438447187 Simplifying t = 1.438447187

Solution

The solution to the problem is based on the solutions from the subproblems. t = {5.561552813, 1.438447187}

Solution

t = {5.561552813, 1.438447187}

See similar equations:

| 0=30x+b | | (3x-5)(5x-9)= | | 4(7g+19)=-14+20g-14 | | 8x+4y+12=2x(10+2y) | | 10x+3=2(4x-7)-3 | | -6t-9=7t | | 5(-4j+1)=-(19j-15) | | 13/7n=28 | | 8k+8+9k=3(2k+5) | | 6(7c-17)=-3(-18c+18) | | 2wsquared+14w=120 | | 5x-3x+12=-2+4x+10 | | 7(2f-8)=20f+10 | | 13x-(2x-8)=19 | | 19p-3p+15=13+9(2p-4) | | 4(3x+7)+5=45 | | (-7x^4y^4)(-2x^3y)=0 | | 12k-4=92 | | 3+2m=1.5+2.5m | | -14h=19h-5(7h+4) | | 2=(3x-4) | | (2r-5)(4r^3-3r^2+3r-2)= | | -2(11s-16)=-18s | | -x/8=11 | | -8(16m+17)=-5(-13m-12)+3m | | 2b-3.4/.6=-29 | | 2x+4(-3x-7)=-32-6x | | 5y+2y+3= | | -2/5x=-8 | | 3(-10t+20)=-19t-20+5t | | -x(-x)whenx=69 | | 4r^3(r^4)^3/15(r^3)^-2 |

Equations solver categories