(5x-3)(10x-5)=0

Simple and best practice solution for (5x-3)(10x-5)=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 (5x-3)(10x-5)=0 equation: 


Simplifying
(5x + -3)(10x + -5) = 0

Reorder the terms:
(-3 + 5x)(10x + -5) = 0

Reorder the terms:
(-3 + 5x)(-5 + 10x) = 0

Multiply (-3 + 5x) * (-5 + 10x)
(-3(-5 + 10x) + 5x * (-5 + 10x)) = 0
((-5 * -3 + 10x * -3) + 5x * (-5 + 10x)) = 0
((15 + -30x) + 5x * (-5 + 10x)) = 0
(15 + -30x + (-5 * 5x + 10x * 5x)) = 0
(15 + -30x + (-25x + 50x2)) = 0

Combine like terms: -30x + -25x = -55x
(15 + -55x + 50x2) = 0

Solving
15 + -55x + 50x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -11x + 10x2) = 0

Factor a trinomial.
5((1 + -2x)(3 + -5x)) = 0

Ignore the factor 5.

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 '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {0.5, 0.6}

See similar equations:

| 6x+1=-2x+3 | | -1/4n=-8 | | 3x-(6x+2)=-(3x+2) | | -x/x+1-3/x+2=0 | | 5a+29=5-a | | n^2+32=12n | | x+(x+1)=79 | | 16-16+c=10 | | 0=5x(2x+9)(3x+11) | | 9x^2=6x^4 | | (n+3)*3=30 | | x+x^2=68 | | 4x^2=190 | | 5x+8=9x-20 | | 3-(5-14x)=21x-5 | | 9a+9=54 | | X^2+x^2+2x+1=841 | | 17x-1.5= | | x^2=4x/2x-7 | | 17+x= | | 2(3x+1)-4(x-13)=2 | | 20(-1)=19-2(-1) | | X+1.5=17 | | 25-2x=3x+10 | | (3+x)/5=(2x-9)/4 | | x^2+x-26=0 | | z^2+(3-2i)z+3-3i=0 | | 200-3X=42x+15 | | x+8y(x)-y=3y+7 | | 5x+10x=-65-10x | | 2x^2+22x+20= | | 5x-4=2(1-2x) |

Equations solver categories