x(6x+13)=28

Simple and best practice solution for x(6x+13)=28 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(6x+13)=28 equation: 


Simplifying
x(6x + 13) = 28

Reorder the terms:
x(13 + 6x) = 28
(13 * x + 6x * x) = 28
(13x + 6x2) = 28

Solving
13x + 6x2 = 28

Solving for variable 'x'.

Reorder the terms:
-28 + 13x + 6x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + 13x + 6x2 = 0

Factor a trinomial.
(-7 + -2x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-3.5, 1.333333333}

See similar equations:

| 4x^2-21x+16=-6x+7 | | 8(b-8)=32 | | 6(5w+5)=4(6w-7) | | 6x-4=5x+2 | | 16-(5m+7)=3+4m-12 | | 6(5+5)=4(6-7) | | 147+x=4x-36 | | x^2+12x-45=5x-1 | | 4.5*x=55.8 | | 12c+6-6c=40 | | -6.28q=18.84 | | 8x-7y=-35 | | 15n+n=7-12n | | 5.9t=-23.6 | | 36m^2-25n^2=0 | | 6(x+18)-18=3x+15 | | 7x+4=2x+59 | | 38-3x=8-9x | | 3(-h+5)=-6 | | 2a+2b=120 | | 15x+21=6x+246 | | m+0.4=0.6 | | 7d-20=12 | | 2(x-2y)+(3x+4y)= | | (2x+-1)+3=7+x | | 40a-24=a+40 | | -v^2-7v+12=0 | | 3x+5=-51-5x | | -13s-14=-52 | | n+2=-18 | | -5n+16+3n=30 | | 40y=13y^2-y^3 |

Equations solver categories