5=-2.7t^2+35t+7

Simple and best practice solution for 5=-2.7t^2+35t+7 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 5=-2.7t^2+35t+7 equation:


Simplifying
5 = -2.7t2 + 35t + 7

Reorder the terms:
5 = 7 + 35t + -2.7t2

Solving
5 = 7 + 35t + -2.7t2

Solving for variable 't'.

Combine like terms: 5 + -7 = -2
-2 + -35t + 2.7t2 = 7 + 35t + -2.7t2 + -7 + -35t + 2.7t2

Reorder the terms:
-2 + -35t + 2.7t2 = 7 + -7 + 35t + -35t + -2.7t2 + 2.7t2

Combine like terms: 7 + -7 = 0
-2 + -35t + 2.7t2 = 0 + 35t + -35t + -2.7t2 + 2.7t2
-2 + -35t + 2.7t2 = 35t + -35t + -2.7t2 + 2.7t2

Combine like terms: 35t + -35t = 0
-2 + -35t + 2.7t2 = 0 + -2.7t2 + 2.7t2
-2 + -35t + 2.7t2 = -2.7t2 + 2.7t2

Combine like terms: -2.7t2 + 2.7t2 = 0.0
-2 + -35t + 2.7t2 = 0.0

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

Divide each side by '2.7'.
-0.7407407407 + -12.96296296t + t2 = 0

Move the constant term to the right:

Add '0.7407407407' to each side of the equation.
-0.7407407407 + -12.96296296t + 0.7407407407 + t2 = 0 + 0.7407407407

Reorder the terms:
-0.7407407407 + 0.7407407407 + -12.96296296t + t2 = 0 + 0.7407407407

Combine like terms: -0.7407407407 + 0.7407407407 = 0.0000000000
0.0000000000 + -12.96296296t + t2 = 0 + 0.7407407407
-12.96296296t + t2 = 0 + 0.7407407407

Combine like terms: 0 + 0.7407407407 = 0.7407407407
-12.96296296t + t2 = 0.7407407407

The t term is -12.96296296t.  Take half its coefficient (-6.48148148).
Square it (42.00960218) and add it to both sides.

Add '42.00960218' to each side of the equation.
-12.96296296t + 42.00960218 + t2 = 0.7407407407 + 42.00960218

Reorder the terms:
42.00960218 + -12.96296296t + t2 = 0.7407407407 + 42.00960218

Combine like terms: 0.7407407407 + 42.00960218 = 42.7503429207
42.00960218 + -12.96296296t + t2 = 42.7503429207

Factor a perfect square on the left side:
(t + -6.48148148)(t + -6.48148148) = 42.7503429207

Calculate the square root of the right side: 6.538374639

Break this problem into two subproblems by setting 
(t + -6.48148148) equal to 6.538374639 and -6.538374639.

Subproblem 1

t + -6.48148148 = 6.538374639 Simplifying t + -6.48148148 = 6.538374639 Reorder the terms: -6.48148148 + t = 6.538374639 Solving -6.48148148 + t = 6.538374639 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.48148148' to each side of the equation. -6.48148148 + 6.48148148 + t = 6.538374639 + 6.48148148 Combine like terms: -6.48148148 + 6.48148148 = 0.00000000 0.00000000 + t = 6.538374639 + 6.48148148 t = 6.538374639 + 6.48148148 Combine like terms: 6.538374639 + 6.48148148 = 13.019856119 t = 13.019856119 Simplifying t = 13.019856119

Subproblem 2

t + -6.48148148 = -6.538374639 Simplifying t + -6.48148148 = -6.538374639 Reorder the terms: -6.48148148 + t = -6.538374639 Solving -6.48148148 + t = -6.538374639 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.48148148' to each side of the equation. -6.48148148 + 6.48148148 + t = -6.538374639 + 6.48148148 Combine like terms: -6.48148148 + 6.48148148 = 0.00000000 0.00000000 + t = -6.538374639 + 6.48148148 t = -6.538374639 + 6.48148148 Combine like terms: -6.538374639 + 6.48148148 = -0.056893159 t = -0.056893159 Simplifying t = -0.056893159

Solution

The solution to the problem is based on the solutions from the subproblems. t = {13.019856119, -0.056893159}

See similar equations:

| 4a^2b-10ab-50b= | | 2m/3-4/3 | | 26=10+40t-16t^2 | | 210=2(7x+70) | | 0.5(X-2)(x-2)(x-2)(x-2)=0 | | (9y-5x+15a)+(-6y+8x-10a)= | | 12x-10+5=0 | | 6x-38=11x | | 31-x-2=-8 | | 13y=15y+14 | | 5x-3/4=-7 | | 2x-1+14=23 | | 4y+y=105 | | 5lnx= | | -3x-2x-2+7x-2=5x+5x-25-3-5x | | h(26)=10+40t-16t^2 | | 2n^3+3n^2+7n+6= | | -35y+75=48 | | T^6+4=10 | | 6x^3y-24xy= | | 11x+40=5x | | s/4=18 | | 38=-4+9a | | 3x^2=-288 | | 4x-3+5x-6= | | 10a^2b+45ab-175b= | | 6(8+3y)=-2(y-4) | | 2n^3+3n^2+6n+6= | | 6k+4=3 | | (4x-3)(5x-6)= | | 3(7x-3)-3x=27 | | H=x-16(6)2 |

Equations solver categories