0=-16t^2+16t+370

Simple and best practice solution for 0=-16t^2+16t+370 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+16t+370 equation:


Simplifying
0 = -16t2 + 16t + 370

Reorder the terms:
0 = 370 + 16t + -16t2

Solving
0 = 370 + 16t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -370 = -370
-370 + -16t + 16t2 = 370 + 16t + -16t2 + -370 + -16t + 16t2

Reorder the terms:
-370 + -16t + 16t2 = 370 + -370 + 16t + -16t + -16t2 + 16t2

Combine like terms: 370 + -370 = 0
-370 + -16t + 16t2 = 0 + 16t + -16t + -16t2 + 16t2
-370 + -16t + 16t2 = 16t + -16t + -16t2 + 16t2

Combine like terms: 16t + -16t = 0
-370 + -16t + 16t2 = 0 + -16t2 + 16t2
-370 + -16t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-370 + -16t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-185 + -8t + 8t2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-185 + -8t + 8t2)' equal to zero and attempt to solve: Simplifying -185 + -8t + 8t2 = 0 Solving -185 + -8t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -23.125 + -1t + t2 = 0 Move the constant term to the right: Add '23.125' to each side of the equation. -23.125 + -1t + 23.125 + t2 = 0 + 23.125 Reorder the terms: -23.125 + 23.125 + -1t + t2 = 0 + 23.125 Combine like terms: -23.125 + 23.125 = 0.000 0.000 + -1t + t2 = 0 + 23.125 -1t + t2 = 0 + 23.125 Combine like terms: 0 + 23.125 = 23.125 -1t + t2 = 23.125 The t term is -1t. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1t + 0.25 + t2 = 23.125 + 0.25 Reorder the terms: 0.25 + -1t + t2 = 23.125 + 0.25 Combine like terms: 23.125 + 0.25 = 23.375 0.25 + -1t + t2 = 23.375 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = 23.375 Calculate the square root of the right side: 4.834769901 Break this problem into two subproblems by setting (t + -0.5) equal to 4.834769901 and -4.834769901.

Subproblem 1

t + -0.5 = 4.834769901 Simplifying t + -0.5 = 4.834769901 Reorder the terms: -0.5 + t = 4.834769901 Solving -0.5 + t = 4.834769901 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + t = 4.834769901 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + t = 4.834769901 + 0.5 t = 4.834769901 + 0.5 Combine like terms: 4.834769901 + 0.5 = 5.334769901 t = 5.334769901 Simplifying t = 5.334769901

Subproblem 2

t + -0.5 = -4.834769901 Simplifying t + -0.5 = -4.834769901 Reorder the terms: -0.5 + t = -4.834769901 Solving -0.5 + t = -4.834769901 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + t = -4.834769901 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + t = -4.834769901 + 0.5 t = -4.834769901 + 0.5 Combine like terms: -4.834769901 + 0.5 = -4.334769901 t = -4.334769901 Simplifying t = -4.334769901

Solution

The solution to the problem is based on the solutions from the subproblems. t = {5.334769901, -4.334769901}

Solution

t = {5.334769901, -4.334769901}

See similar equations:

| X^3+16xy^2-8=0 | | 33Y-58=74 | | 0-1/3 | | -x^2+kx-4=0 | | (sin(x))/((cos(x))^2)=1.845 | | (sin(x))/((cos(x))^)=1.845 | | -8x-12y=8 | | −3/5v-2/3=−5/4 | | sinx/(cosx)^2=1.854 | | −3/5v-2/3=-−5/4 | | sinx/(sosx)^2=1.854 | | 50=6+11c | | n^2-28n=0 | | V=kt/p | | F(x)=g | | x^7-2x-3=0 | | 10(3x+7)=30 | | 2sinx-cos^2x=2 | | 22.5(10-y)+227.5y=250 | | 8x+7-7x=10-6+4 | | 2x+30=x+24 | | -5y/x | | Log(125/8)(x)=4/25 | | (2x+5)+(3x-1)+(5x)=180 | | 2-5=3-2(4-x) | | 12/x=30/67 | | 16/x^2 | | ifp(x)=3x^2-3xifp(4) | | 2w+w^2=7 | | -3/-5x4 | | -3x4/-5 | | 6x=8+10 |

Equations solver categories