(10x-5)(-10x-2)=0

Simple and best practice solution for (10x-5)(-10x-2)=0 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 (10x-5)(-10x-2)=0 equation: 


Simplifying
(10x + -5)(-10x + -2) = 0

Reorder the terms:
(-5 + 10x)(-10x + -2) = 0

Reorder the terms:
(-5 + 10x)(-2 + -10x) = 0

Multiply (-5 + 10x) * (-2 + -10x)
(-5(-2 + -10x) + 10x * (-2 + -10x)) = 0
((-2 * -5 + -10x * -5) + 10x * (-2 + -10x)) = 0
((10 + 50x) + 10x * (-2 + -10x)) = 0
(10 + 50x + (-2 * 10x + -10x * 10x)) = 0
(10 + 50x + (-20x + -100x2)) = 0

Combine like terms: 50x + -20x = 30x
(10 + 30x + -100x2) = 0

Solving
10 + 30x + -100x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(1 + 3x + -10x2) = 0

Factor a trinomial.
10((1 + -2x)(1 + 5x)) = 0

Ignore the factor 10.

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {0.5, -0.2}

See similar equations:

| 46-7x=22x+23 | | 11x+3=8x+9 | | 2z^2+2z-60=0 | | 4t-5=3t+12 | | (x+11)-2(x+2)=1-3(1-x)+4(2x-5) | | b^2+20b=0 | | 6x+2=2x+7 | | x+34=8x-22 | | -125t= | | 3x-(-2-5x)=x+2 | | 10x-10-4=3x+49 | | 2.3+3.2=-9.4 | | 2.3+3.2=9.4 | | -2(q+5)=3(q+6) | | 8x-(1-6x)=10x+15 | | -x^3+9x^2-18x=0 | | 15-x=1 | | -4y^2-48y-108=0 | | a^5-a^3=0 | | x-60=-3x | | 5z^5-180z^3=0 | | 4x^2+12x=16 | | 248=24-32x | | 3x-8x=22+7 | | 3x=x+42 | | 42+x=3x | | 5y^5-180y^3=0 | | 4z^5-36z^3=0 | | x^2/0.25-x | | 9-x=-1+x | | X+y-8=31 | | 7x-2x=-40 |

Equations solver categories