x(2x+6)=10

Simple and best practice solution for x(2x+6)=10 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 x(2x+6)=10 equation: 


Simplifying
x(2x + 6) = 10

Reorder the terms:
x(6 + 2x) = 10
(6 * x + 2x * x) = 10
(6x + 2x2) = 10

Solving
6x + 2x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 6x + 2x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 3x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
-5 + 3x + x2 = 0

Solving
-5 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 3x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 3x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3x + x2 = 0 + 5
3x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
3x + x2 = 5

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 5 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 5 + 2.25

Combine like terms: 5 + 2.25 = 7.25
2.25 + 3x + x2 = 7.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 7.25

Calculate the square root of the right side: 2.692582404

Break this problem into two subproblems by setting 
(x + 1.5) equal to 2.692582404 and -2.692582404.


Subproblem 1
x + 1.5 = 2.692582404

Simplifying
x + 1.5 = 2.692582404

Reorder the terms:
1.5 + x = 2.692582404

Solving
1.5 + x = 2.692582404

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 2.692582404 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 2.692582404 + -1.5
x = 2.692582404 + -1.5

Combine like terms: 2.692582404 + -1.5 = 1.192582404
x = 1.192582404

Simplifying
x = 1.192582404


Subproblem 2
x + 1.5 = -2.692582404

Simplifying
x + 1.5 = -2.692582404

Reorder the terms:
1.5 + x = -2.692582404

Solving
1.5 + x = -2.692582404

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -2.692582404 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -2.692582404 + -1.5
x = -2.692582404 + -1.5

Combine like terms: -2.692582404 + -1.5 = -4.192582404
x = -4.192582404

Simplifying
x = -4.192582404


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.192582404, -4.192582404}
Solution
x = {1.192582404, -4.192582404}

See similar equations:

| x((x^2)+6)=10 | | X(x^2+6)=10 | | 6x^2+5x-21=(2x-3)(ax+b) | | -6x+4x^3=0 | | -3x^2+1x^4=0 | | -2*x^4+3*x^2*(x^2-1)=0 | | 3.14(x)2(6)=2 | | 3(3)-3y=5 | | (x-2)+48=(2-3x) | | a*a=5 | | 2a*a+5a+6=0 | | .16(y-4)+.18y=.02y-3.6 | | 16x-8x-18=24+20 | | 3x^3+36x^2+144x+242=0 | | 2*3*4=0 | | ln(x+2)-lnx=1 | | 7x+y=320 | | 5x-x+2x-7=10 | | (6+2)(10+6)= | | 10(y+3)=2(3y+5) | | 6(p-2)x^2=6 | | 12(z+4)-3(z-1)=4(z-1)-4(z-4) | | -5x+71=3x+39 | | 5+7+x=4 | | x^2+3x-7140=0 | | 5+2x=-9 | | 4x+7x-2x=18 | | 12z+12-3z-9=4z-12+4z-12 | | (y-3)(y-3)=2y^2+4y+30 | | 19x-11y=-29 | | V=(5-2x)(13-2x)(x) | | 2w+2=7 |

Equations solver categories