5x^2+65x+50=0

Simple and best practice solution for 5x^2+65x+50=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 5x^2+65x+50=0 equation:


Simplifying
5x2 + 65x + 50 = 0

Reorder the terms:
50 + 65x + 5x2 = 0

Solving
50 + 65x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(10 + 13x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(10 + 13x + x2)' equal to zero and attempt to solve:

Simplifying
10 + 13x + x2 = 0

Solving
10 + 13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 13x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 13x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 13x + x2 = 0 + -10
13x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
13x + x2 = -10

The x term is 13x.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13x + 42.25 + x2 = -10 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -10 + 42.25

Combine like terms: -10 + 42.25 = 32.25
42.25 + 13x + x2 = 32.25

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = 32.25

Calculate the square root of the right side: 5.678908346

Break this problem into two subproblems by setting 
(x + 6.5) equal to 5.678908346 and -5.678908346.


Subproblem 1
x + 6.5 = 5.678908346

Simplifying
x + 6.5 = 5.678908346

Reorder the terms:
6.5 + x = 5.678908346

Solving
6.5 + x = 5.678908346

Solving for variable 'x'.

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

Add '-6.5' to each side of the equation.
6.5 + -6.5 + x = 5.678908346 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + x = 5.678908346 + -6.5
x = 5.678908346 + -6.5

Combine like terms: 5.678908346 + -6.5 = -0.821091654
x = -0.821091654

Simplifying
x = -0.821091654


Subproblem 2
x + 6.5 = -5.678908346

Simplifying
x + 6.5 = -5.678908346

Reorder the terms:
6.5 + x = -5.678908346

Solving
6.5 + x = -5.678908346

Solving for variable 'x'.

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

Add '-6.5' to each side of the equation.
6.5 + -6.5 + x = -5.678908346 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + x = -5.678908346 + -6.5
x = -5.678908346 + -6.5

Combine like terms: -5.678908346 + -6.5 = -12.178908346
x = -12.178908346

Simplifying
x = -12.178908346


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.821091654, -12.178908346}
Solution
x = {-0.821091654, -12.178908346}

See similar equations:

| 5x^2-8x+43=0 | | bx-6y=-17 | | x=(x-1*0.94)+77000 | | 4=5+n | | -6=x-17 | | 61-4=23x+16 | | 4(n+7)=n-(4-n) | | 3x+10=23-8x | | -17.5=3.5c | | 4(n+7)= | | y=2x^3+x^2-x | | 4(x-72)=-16 | | 3(x-5)+4(2x+3)=30 | | 6n+(7n)=42 | | 9x=12-3y | | 7n+3=2n+33 | | 3-5(2x-7)=5-(4-2x) | | 7(x+4)+5x=30 | | n+(-2)=-14 | | 4(Y-3)-6(y+1)=4(3y+4)-2(8-6y) | | r+(-3)=10 | | -12+10y=15y+3 | | 390=30*3+42h+195 | | x-(-6)=20 | | x-.1x=27.76 | | 9n+8=71 | | 96-28*x=-x^2 | | -3y+2= | | 5n-15=15 | | 96-28x=x^2 | | ln(x+1)=ln(3x+3) | | -2(4-3*0.7)= |

Equations solver categories