-t^2+4t=-33

Simple and best practice solution for -t^2+4t=-33 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 -t^2+4t=-33 equation:


Simplifying
-1t2 + 4t = -33

Reorder the terms:
4t + -1t2 = -33

Solving
4t + -1t2 = -33

Solving for variable 't'.

Reorder the terms:
33 + 4t + -1t2 = -33 + 33

Combine like terms: -33 + 33 = 0
33 + 4t + -1t2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-33 + -4t + t2 = 0

Move the constant term to the right:

Add '33' to each side of the equation.
-33 + -4t + 33 + t2 = 0 + 33

Reorder the terms:
-33 + 33 + -4t + t2 = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -4t + t2 = 0 + 33
-4t + t2 = 0 + 33

Combine like terms: 0 + 33 = 33
-4t + t2 = 33

The t term is -4t.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4t + 4 + t2 = 33 + 4

Reorder the terms:
4 + -4t + t2 = 33 + 4

Combine like terms: 33 + 4 = 37
4 + -4t + t2 = 37

Factor a perfect square on the left side:
(t + -2)(t + -2) = 37

Calculate the square root of the right side: 6.08276253

Break this problem into two subproblems by setting 
(t + -2) equal to 6.08276253 and -6.08276253.

Subproblem 1

t + -2 = 6.08276253 Simplifying t + -2 = 6.08276253 Reorder the terms: -2 + t = 6.08276253 Solving -2 + t = 6.08276253 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 6.08276253 + 2 Combine like terms: -2 + 2 = 0 0 + t = 6.08276253 + 2 t = 6.08276253 + 2 Combine like terms: 6.08276253 + 2 = 8.08276253 t = 8.08276253 Simplifying t = 8.08276253

Subproblem 2

t + -2 = -6.08276253 Simplifying t + -2 = -6.08276253 Reorder the terms: -2 + t = -6.08276253 Solving -2 + t = -6.08276253 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = -6.08276253 + 2 Combine like terms: -2 + 2 = 0 0 + t = -6.08276253 + 2 t = -6.08276253 + 2 Combine like terms: -6.08276253 + 2 = -4.08276253 t = -4.08276253 Simplifying t = -4.08276253

Solution

The solution to the problem is based on the solutions from the subproblems. t = {8.08276253, -4.08276253}

See similar equations:

| log(4)(2X+1)+log(4)(X-1)=1+log(4)6.25 | | 12+6=(2y+1) | | 6y-9=7y-6 | | 9*q=16.2 | | 3(p+2)=-3 | | 4p-p-p+3p= | | 0.16(y-5)+0.14y=0.10y-0.3 | | 0.18(12)+0.02x=0.06(6+x) | | 4(1-7x)=200 | | (2x-6)(4x-4)= | | -78-6k=6(1+3k) | | (-5y^4z^7)(9yz^2)= | | -4.7c=-23.5 | | y^3+4y^2=45y | | 72x^2-6x-1=0 | | 2x-4(4)=-8 | | 1.7a=-5 | | 25k+12=-3 | | 2x^4-5x-8=0 | | 7y-16= | | 4x-2y(2)=-8 | | 7-(2n-2)=4-3n | | 0.20x+0.15(70)=26.5 | | (x+2)(x-5)(x+6)=0 | | 12x^2-x^2= | | (5x-2)(5x-3)= | | 7(x-2)+3(x-2)=5(x-6) | | 4y+y+1=7(u-1) | | 3*27+9y=27 | | (5y-5x)*(x^2-y^2)= | | 11=2z-9 | | 4(b-4)=-40 |

Equations solver categories