t^2+7t+7=0

Simple and best practice solution for t^2+7t+7=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 t^2+7t+7=0 equation: 


Simplifying
t2 + 7t + 7 = 0

Reorder the terms:
7 + 7t + t2 = 0

Solving
7 + 7t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 7t + -7 + t2 = 0 + -7

Reorder the terms:
7 + -7 + 7t + t2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 7t + t2 = 0 + -7
7t + t2 = 0 + -7

Combine like terms: 0 + -7 = -7
7t + t2 = -7

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 = -7 + 12.25

Reorder the terms:
12.25 + 7t + t2 = -7 + 12.25

Combine like terms: -7 + 12.25 = 5.25
12.25 + 7t + t2 = 5.25

Factor a perfect square on the left side:
(t + 3.5)(t + 3.5) = 5.25

Calculate the square root of the right side: 2.291287847

Break this problem into two subproblems by setting 
(t + 3.5) equal to 2.291287847 and -2.291287847.


Subproblem 1
t + 3.5 = 2.291287847

Simplifying
t + 3.5 = 2.291287847

Reorder the terms:
3.5 + t = 2.291287847

Solving
3.5 + t = 2.291287847

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 = 2.291287847 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + t = 2.291287847 + -3.5
t = 2.291287847 + -3.5

Combine like terms: 2.291287847 + -3.5 = -1.208712153
t = -1.208712153

Simplifying
t = -1.208712153


Subproblem 2
t + 3.5 = -2.291287847

Simplifying
t + 3.5 = -2.291287847

Reorder the terms:
3.5 + t = -2.291287847

Solving
3.5 + t = -2.291287847

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 = -2.291287847 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + t = -2.291287847 + -3.5
t = -2.291287847 + -3.5

Combine like terms: -2.291287847 + -3.5 = -5.791287847
t = -5.791287847

Simplifying
t = -5.791287847


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {-1.208712153, -5.791287847}

See similar equations:

| 3a^2=10a+8 | | h^2+28h-8=0 | | -6m=-414 | | 44.8=x+1.80x | | -4c-11=2c+c+21+c | | 3z+8-z=7+z+5 | | 4(5r-12)+6r= | | y^3-7y^2+36=0 | | -10p+9=7p+12 | | 7x+x=80 | | -20x=6 | | (8x+3y)(8x-3y)= | | x^2(x^2+7x+10)=0 | | -3(4-2b)= | | x+3y=-10 | | x-7x=80 | | 8x^2+21=-59c | | 4(2c-8)= | | 12a^2b^5+2ab^2-6ab^6= | | 2(a-4)+15= | | x(x^2+5x+6)=0 | | 4x-(6-2x)=2-2x | | 5(3x+12)= | | 5x+3=3(x+3) | | 12a^2b^5+2ab^2-6ab^2= | | 4(x+5)(x^2+1)= | | 4.6x-9.22=3.2 | | -2(m+1)+5m= | | 6-4x+3(2x-5)= | | -4.7x=-18.8 | | 10x+10=8x+24 | | 4(2a+2)-17= |

Equations solver categories