2x^2+10x+4=0

Simple and best practice solution for 2x^2+10x+4=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 2x^2+10x+4=0 equation: 


Simplifying
2x2 + 10x + 4 = 0

Reorder the terms:
4 + 10x + 2x2 = 0

Solving
4 + 10x + 2x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
2 + 5x + x2 = 0

Solving
2 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 5x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 5x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x + x2 = 0 + -2
5x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
5x + x2 = -2

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -2 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -2 + 6.25

Combine like terms: -2 + 6.25 = 4.25
6.25 + 5x + x2 = 4.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(x + 2.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
x + 2.5 = 2.061552813

Simplifying
x + 2.5 = 2.061552813

Reorder the terms:
2.5 + x = 2.061552813

Solving
2.5 + x = 2.061552813

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 2.061552813 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 2.061552813 + -2.5
x = 2.061552813 + -2.5

Combine like terms: 2.061552813 + -2.5 = -0.438447187
x = -0.438447187

Simplifying
x = -0.438447187


Subproblem 2
x + 2.5 = -2.061552813

Simplifying
x + 2.5 = -2.061552813

Reorder the terms:
2.5 + x = -2.061552813

Solving
2.5 + x = -2.061552813

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -2.061552813 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -2.061552813 + -2.5
x = -2.061552813 + -2.5

Combine like terms: -2.061552813 + -2.5 = -4.561552813
x = -4.561552813

Simplifying
x = -4.561552813


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.438447187, -4.561552813}
Solution
x = {-0.438447187, -4.561552813}

See similar equations:

| 2x+15+4x+15=6 | | 7m-2(m+3)=m+6+4m | | 30=16y-2y^2 | | 27x^3+1=0 | | 3x=x-(1-(x-30)) | | 6x-5=x+3 | | 6x-5=c+3 | | 2x^3-250=0 | | w^2+11w=0 | | -2(-27-3x)=-3(2x-10) | | 2x^3+54=0 | | 2x^2-12x+9=0 | | (2x+3)(3x-1)=0 | | 6x+9=11x-19 | | 25+0.7x(12-6)= | | 5x-8=52-7x | | 15x^2-22x-9=0 | | n=o | | [n]=3 | | 5(1)(11)=4(12)(V) | | 38-5x=4x+17 | | 13-10x=63-24x | | 2x+14=-46-8x | | [6x-2]=58 | | X^2+8x=16 | | 8x^2-88x-96=0 | | -3-3x=9x+17 | | 3x+10=82-5x | | 8x-8=x+20 | | =x^4-2x^3-11x^2-8x-60 | | 7x^2-6x-5=0 | | -15=6p+5-10p |

Equations solver categories