x(5x+1)=2x^2-6x+20

Simple and best practice solution for x(5x+1)=2x^2-6x+20 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(5x+1)=2x^2-6x+20 equation: 


Simplifying
x(5x + 1) = 2x2 + -6x + 20

Reorder the terms:
x(1 + 5x) = 2x2 + -6x + 20
(1 * x + 5x * x) = 2x2 + -6x + 20
(1x + 5x2) = 2x2 + -6x + 20

Reorder the terms:
1x + 5x2 = 20 + -6x + 2x2

Solving
1x + 5x2 = 20 + -6x + 2x2

Solving for variable 'x'.

Reorder the terms:
-20 + 1x + 6x + 5x2 + -2x2 = 20 + -6x + 2x2 + -20 + 6x + -2x2

Combine like terms: 1x + 6x = 7x
-20 + 7x + 5x2 + -2x2 = 20 + -6x + 2x2 + -20 + 6x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-20 + 7x + 3x2 = 20 + -6x + 2x2 + -20 + 6x + -2x2

Reorder the terms:
-20 + 7x + 3x2 = 20 + -20 + -6x + 6x + 2x2 + -2x2

Combine like terms: 20 + -20 = 0
-20 + 7x + 3x2 = 0 + -6x + 6x + 2x2 + -2x2
-20 + 7x + 3x2 = -6x + 6x + 2x2 + -2x2

Combine like terms: -6x + 6x = 0
-20 + 7x + 3x2 = 0 + 2x2 + -2x2
-20 + 7x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-20 + 7x + 3x2 = 0

Factor a trinomial.
(-4 + -1x)(5 + -3x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

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

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

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

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-4, 1.666666667}

See similar equations:

| 4(2x+1)=68 | | x*x+3x=x*x+x+2 | | 2x^2-5=-77 | | 5n+6=7n-26 | | 13x^2+5-[8(x^2-7)+6]= | | y=(100+0.8(y-0.2))+200+100 | | 18+2w=6w-4 | | 0.03x^2+0.05x=0.90 | | 6x^2+7p-20=0 | | 5y+3(y-9)=3(y+1)-2 | | -6d=-216 | | 3/5x=1/4x-10+2x | | 9x=10x+33 | | 5x-2=2+7 | | 5(x+3)=-6(8-2x)-7x | | 2(1-6x)+2x=-58 | | 3x-11(-212)+61=0 | | 2*3+y=8 | | 3x-11p+61=0 | | log^4(7-6x)=2 | | .2(x-8)=.6(x-2) | | 5p+zr=r-6h | | 2(1000)+9p-90=0 | | x+x^2+(5-x)(x+x)=26 | | 0.13y+0.03(y+7000)=850 | | 7/8x=6 | | 2x+9p-90=0 | | y=(100+0.8(y-100))+100+200 | | x^2-1/5x=0 | | -16=(9x)/(x^2-4) | | 4.6x+8.7=-9.7 | | u=4-4555/7888 |

Equations solver categories