(5x+6)(6x+5)x=

Simple and best practice solution for (5x+6)(6x+5)x= 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 (5x+6)(6x+5)x= equation: 


Simplifying
(5x + 6)(6x + 5) * x = 0

Reorder the terms:
(6 + 5x)(6x + 5) * x = 0

Reorder the terms:
(6 + 5x)(5 + 6x) * x = 0

Reorder the terms for easier multiplication:
x(6 + 5x)(5 + 6x) = 0

Multiply (6 + 5x) * (5 + 6x)
x(6(5 + 6x) + 5x * (5 + 6x)) = 0
x((5 * 6 + 6x * 6) + 5x * (5 + 6x)) = 0
x((30 + 36x) + 5x * (5 + 6x)) = 0
x(30 + 36x + (5 * 5x + 6x * 5x)) = 0
x(30 + 36x + (25x + 30x2)) = 0

Combine like terms: 36x + 25x = 61x
x(30 + 61x + 30x2) = 0
(30 * x + 61x * x + 30x2 * x) = 0
(30x + 61x2 + 30x3) = 0

Solving
30x + 61x2 + 30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(30 + 61x + 30x2) = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 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 + 5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 0 + -6
5x = 0 + -6

Combine like terms: 0 + -6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

Subproblem 3
Set the factor '(5 + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6x = 0

Solving
5 + 6x = 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 + 6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 0 + -5
6x = 0 + -5

Combine like terms: 0 + -5 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Solution
x = {0, -1.2, -0.8333333333}

See similar equations:

| 45.3=4.7x | | 15a-7x+30=0 | | v=x(16-2x)(12-2x) | | -20-5k=-5k-2(1+3k) | | 3.278s=2.34 | | X*X+3x=70 | | V=(16-2x)(12-2x) | | 4(x+1)+5=2x+2(4+x) | | 2.67x+1.167-3.4x=5.2 | | -7+2x=5(x-2) | | 15a-7x=-30 | | y^2+y-14520=0 | | 0.12x=0.432 | | 6r-1+6+3=17 | | (5y+9)(8-y)=0 | | 8x+7=6-2-10x | | 3(3n-5)=(7n+4)+1 | | -3x-3(x+1)=39 | | 40m^3-320m^2-56m+488=0 | | (8x-8y)=-24 | | -50+3*x=-11 | | 0.375x+1.167x=5.2 | | y+2r=5 | | 7p-(3p+4)=2(2p-1) | | 7x+15=5x+12 | | (-2z-7)(-8z+5)=0 | | 6x-9=6(x+3) | | y=4x^8-4x^6 | | (-2z-7)(-8+5)=0 | | X-14=-36 | | 25y-36y^2= | | 27x-6+15x^2= |

Equations solver categories