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

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


Simplifying
(6x2 + -5x)(6x2 + 5x) = 0

Reorder the terms:
(-5x + 6x2)(6x2 + 5x) = 0

Reorder the terms:
(-5x + 6x2)(5x + 6x2) = 0

Multiply (-5x + 6x2) * (5x + 6x2)
(-5x * (5x + 6x2) + 6x2 * (5x + 6x2)) = 0
((5x * -5x + 6x2 * -5x) + 6x2 * (5x + 6x2)) = 0
((-25x2 + -30x3) + 6x2 * (5x + 6x2)) = 0
(-25x2 + -30x3 + (5x * 6x2 + 6x2 * 6x2)) = 0
(-25x2 + -30x3 + (30x3 + 36x4)) = 0

Combine like terms: -30x3 + 30x3 = 0
(-25x2 + 0 + 36x4) = 0
(-25x2 + 36x4) = 0

Solving
-25x2 + 36x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-25 + 36x2) = 0

Factor a difference between two squares.
x2((5 + 6x)(-5 + 6x)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
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

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, -0.8333333333, 0.8333333333}

See similar equations:

| -56=-6x+4 | | 4x^2-2=1 | | 7+9r+10k-5r-3k-24= | | (6x^2-5x)(6x^2+5)= | | 150+30(x+2.50)=500 | | x^2+18x-175=0 | | 3(2y-1)= | | 3g-1=2g+8 | | z^2=6z-2 | | 2x-5=10-69 | | x^2-17x+25=-5x-2 | | 3w+2=2+-10w | | -20+13s+10p-2s-4p-26= | | r^2+2t-224=o | | y^2+6y-91=0 | | 111-5x=13x+19 | | 3(p+7)=15(p-4) | | 2x+14=-9-9x | | 7x-(4x+6)=6 | | (x+3)(x-4)=(x-5)(x+2) | | 3x^2+18x-33=0 | | 18-3.8x=7.5-1.3x | | -24-6t=12t | | 24-6t=12t | | 3(5x-1)-2(2x-1)= | | 2x-5-6x=9 | | x^3-5x^2-36X=0 | | 10(g+2)=6(g+4) | | x^3-4x^2-20x=0 | | -8+x=-20 | | 7-2y,y=5 | | 6w-1=-5(w+9) |

Equations solver categories