2x^2+14x+13=

Simple and best practice solution for 2x^2+14x+13= 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 2x^2+14x+13= equation:


Simplifying
2x2 + 14x + 13 = 0

Reorder the terms:
13 + 14x + 2x2 = 0

Solving
13 + 14x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
6.5 + 7x + x2 = 0

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + 7x + -6.5 + x2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + 7x + x2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 7x + x2 = 0 + -6.5
7x + x2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
7x + x2 = -6.5

The x term is 7x.  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.
7x + 12.25 + x2 = -6.5 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -6.5 + 12.25

Combine like terms: -6.5 + 12.25 = 5.75
12.25 + 7x + x2 = 5.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 5.75

Calculate the square root of the right side: 2.397915762

Break this problem into two subproblems by setting 
(x + 3.5) equal to 2.397915762 and -2.397915762.

Subproblem 1

x + 3.5 = 2.397915762 Simplifying x + 3.5 = 2.397915762 Reorder the terms: 3.5 + x = 2.397915762 Solving 3.5 + x = 2.397915762 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 2.397915762 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 2.397915762 + -3.5 x = 2.397915762 + -3.5 Combine like terms: 2.397915762 + -3.5 = -1.102084238 x = -1.102084238 Simplifying x = -1.102084238

Subproblem 2

x + 3.5 = -2.397915762 Simplifying x + 3.5 = -2.397915762 Reorder the terms: 3.5 + x = -2.397915762 Solving 3.5 + x = -2.397915762 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -2.397915762 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -2.397915762 + -3.5 x = -2.397915762 + -3.5 Combine like terms: -2.397915762 + -3.5 = -5.897915762 x = -5.897915762 Simplifying x = -5.897915762

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-1.102084238, -5.897915762}

See similar equations:

| -3w^2+51=-96 | | (-10x^4-8x)(2x^3+3)= | | 6y^2-2y-1=0 | | 9z-14=7z | | -2x^2+42=8 | | x^2-16x+62=0 | | x/5+3=2 | | 12+9=10+17 | | 20x=-4 | | 7-8ln(3x)=-15 | | 7(2y-3)+3=24 | | 7-8ln(3-x)=-15 | | (6+2x)+x=54 | | 30=5(1/5-3) | | 3x-2x=19 | | 6p-4p+p=3 | | -20=x-3 | | ay-3=7b | | 6x-3x-x+x-2x=10 | | log(6)36=2 | | 5p-4p=18 | | -5p-4p=18 | | .5(x-4)=.5 | | 9d-2d-2d+2=17 | | 9u-3u+4=16 | | z+3z-2z+3=19 | | -5x/4=7/2 | | 4.5(x)(x)+7x-1.5=0 | | -30+6=-6 | | 7+11y+7y=9 | | 7a-8=3a+12 | | n+2=3 |

Equations solver categories