2t^2-46t+22=0

Simple and best practice solution for 2t^2-46t+22=0 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 2t^2-46t+22=0 equation: 


Simplifying
2t2 + -46t + 22 = 0

Reorder the terms:
22 + -46t + 2t2 = 0

Solving
22 + -46t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + -23t + t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + -23t + t2)' equal to zero and attempt to solve:

Simplifying
11 + -23t + t2 = 0

Solving
11 + -23t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -23t + -11 + t2 = 0 + -11

Reorder the terms:
11 + -11 + -23t + t2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -23t + t2 = 0 + -11
-23t + t2 = 0 + -11

Combine like terms: 0 + -11 = -11
-23t + t2 = -11

The t term is -23t.  Take half its coefficient (-11.5).
Square it (132.25) and add it to both sides.

Add '132.25' to each side of the equation.
-23t + 132.25 + t2 = -11 + 132.25

Reorder the terms:
132.25 + -23t + t2 = -11 + 132.25

Combine like terms: -11 + 132.25 = 121.25
132.25 + -23t + t2 = 121.25

Factor a perfect square on the left side:
(t + -11.5)(t + -11.5) = 121.25

Calculate the square root of the right side: 11.011357773

Break this problem into two subproblems by setting 
(t + -11.5) equal to 11.011357773 and -11.011357773.


Subproblem 1
t + -11.5 = 11.011357773

Simplifying
t + -11.5 = 11.011357773

Reorder the terms:
-11.5 + t = 11.011357773

Solving
-11.5 + t = 11.011357773

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '11.5' to each side of the equation.
-11.5 + 11.5 + t = 11.011357773 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + t = 11.011357773 + 11.5
t = 11.011357773 + 11.5

Combine like terms: 11.011357773 + 11.5 = 22.511357773
t = 22.511357773

Simplifying
t = 22.511357773


Subproblem 2
t + -11.5 = -11.011357773

Simplifying
t + -11.5 = -11.011357773

Reorder the terms:
-11.5 + t = -11.011357773

Solving
-11.5 + t = -11.011357773

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '11.5' to each side of the equation.
-11.5 + 11.5 + t = -11.011357773 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + t = -11.011357773 + 11.5
t = -11.011357773 + 11.5

Combine like terms: -11.011357773 + 11.5 = 0.488642227
t = 0.488642227

Simplifying
t = 0.488642227


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {22.511357773, 0.488642227}
Solution
t = {22.511357773, 0.488642227}

See similar equations:

| -2t^2+46t-22=0 | | 4k^2-4k+1=9 | | (4a+3b)(a+2b)=(3a+b-2) | | (4a+3b)(a+2b)= | | 2x^2-(2m-1)x+2m+1=0 | | x+-2+3=-2 | | 3(u-3)-4i=11 | | X^2+3x=56 | | -4/x | | -4/x=2/3 | | (10-27/x)1.1x | | (4x-2y)+(x+y)= | | 1+x-2+5-3=0 | | -x^3-3*x^2-1=0 | | 2*Sin^2(x)+3*cos(x)-2=0 | | 2/9×3x=x-56 | | (x-4)(x^3-1)(16+x)=0 | | (x^2-4)(4x+1)=0 | | (x+2)(x-2)(4x+1)=0 | | (x+7)(x-7)(4x-1)=0 | | 3x^2-12x+55=0 | | (3x^2-75)(3x-8)=0 | | 3x^2-12+27=0 | | 4a^2-31a-8=0 | | 4a^2-31a+8=0 | | 8x+9y=Txy | | 90x-3=300(4x-3) | | 4s(s-4)=0 | | 9s(s-4)=0 | | 4x(x-9)(x+9)=0 | | 6p-p=x | | 6p-p=5p |

Equations solver categories