13x^2+26x+65=0

Simple and best practice solution for 13x^2+26x+65=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 13x^2+26x+65=0 equation:


Simplifying
13x2 + 26x + 65 = 0

Reorder the terms:
65 + 26x + 13x2 = 0

Solving
65 + 26x + 13x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '13'.
13(5 + 2x + x2) = 0

Ignore the factor 13.

Subproblem 1

Set the factor '(5 + 2x + x2)' equal to zero and attempt to solve: Simplifying 5 + 2x + x2 = 0 Solving 5 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 2x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 2x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x + x2 = 0 + -5 2x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x + x2 = -5 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -5 + 1 Reorder the terms: 1 + 2x + x2 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + 2x + x2 = -4 Factor a perfect square on the left side: (x + 1)(x + 1) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 4x+16=2x+56 | | 9/2v−1/4=−1 | | 9/2v−1/4=−−1 | | log(x)=74.54286 | | x^4-24x^3+47x^2+6x-12=0 | | 21-6a=69+2a | | -7x+3-11=-8-x | | sin(2x)cos(x)-cos(2x)sin(x)=sin(x) | | 3y+4y=-2 | | abs(6x+4)=f(x) | | 2d(3a+2)= | | 3x=y-24 | | -12/3=8 | | y=k*x+I | | y=5*x-100 | | 2/4(x-4)=1/4x-6 | | 2x^2+18x-316=0 | | 1/3:180=x:180 | | Y*Y/2=90 | | 2Y*Y=90 | | (Y-3)/2=4y-12 | | C=0.001x^3+9x+54 | | x/3=9999 | | 8q-22=3q+2 | | -27-4x=9-8c | | (3x+3y)dx+(3x+3y)dy=0 | | x-3000/2x=13000 | | log(x)=6.82 | | log(7)(13-3x)=2 | | (x+2)+7y=26 | | 2x^(2/3)-9x^(1/3)-5=0 | | 2x-(-3-((2x-y-3)-3)-5x-y)-2y= |

Equations solver categories