x(5x+1)=2x^2-12x+30

Simple and best practice solution for x(5x+1)=2x^2-12x+30 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^2-12x+30 equation: 


Simplifying
x(5x + 1) = 2x2 + -12x + 30

Reorder the terms:
x(1 + 5x) = 2x2 + -12x + 30
(1 * x + 5x * x) = 2x2 + -12x + 30
(1x + 5x2) = 2x2 + -12x + 30

Reorder the terms:
1x + 5x2 = 30 + -12x + 2x2

Solving
1x + 5x2 = 30 + -12x + 2x2

Solving for variable 'x'.

Reorder the terms:
-30 + 1x + 12x + 5x2 + -2x2 = 30 + -12x + 2x2 + -30 + 12x + -2x2

Combine like terms: 1x + 12x = 13x
-30 + 13x + 5x2 + -2x2 = 30 + -12x + 2x2 + -30 + 12x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-30 + 13x + 3x2 = 30 + -12x + 2x2 + -30 + 12x + -2x2

Reorder the terms:
-30 + 13x + 3x2 = 30 + -30 + -12x + 12x + 2x2 + -2x2

Combine like terms: 30 + -30 = 0
-30 + 13x + 3x2 = 0 + -12x + 12x + 2x2 + -2x2
-30 + 13x + 3x2 = -12x + 12x + 2x2 + -2x2

Combine like terms: -12x + 12x = 0
-30 + 13x + 3x2 = 0 + 2x2 + -2x2
-30 + 13x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-30 + 13x + 3x2 = 0

Factor a trinomial.
(-6 + -1x)(5 + -3x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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 = {-6, 1.666666667}

See similar equations:

| 0.83x+0.29=0.5x-0.7 | | 9-3a=1 | | 8s-10=28-6s | | 25=4c-3 | | 2x^2+12x-5=0 | | 54+12x=7x+14 | | 7.12y-1.4=2y-5.3 | | -6a+4+7a=15-27 | | -170x+121+64x^2=0 | | 1015-5x=3x+9 | | y-(-7)=-15 | | 3(x-2)+3y=6x | | -7x+11x=4x | | 72=-3x-6x | | 2(x-4)+7=11 | | 2(x+3)+x=3-(3-x) | | 8x+3y-5y-12+3x= | | (5x+4y)(x-7y)=0 | | m-10-6=-3 | | 4x+5-2x=17 | | x+4=3x+9 | | 6x+8-13x+10=4-6x-1+4x | | 70-5x=8x+15 | | 3x+19=x+1 | | 3x+6=53+x | | 20-5x^2+3x^2-x^2= | | -1.2k=3.6 | | -64=-3x-5x | | 1+.5x=.25x-6 | | 18g+6g=-12g | | 4x^2=19x+30 | | 3x+7x-13x= |

Equations solver categories