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

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


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

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

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

Multiply (-2 + 5x) * (10 + 2x)
(-2(10 + 2x) + 5x * (10 + 2x)) = 0
((10 * -2 + 2x * -2) + 5x * (10 + 2x)) = 0
((-20 + -4x) + 5x * (10 + 2x)) = 0
(-20 + -4x + (10 * 5x + 2x * 5x)) = 0
(-20 + -4x + (50x + 10x2)) = 0

Combine like terms: -4x + 50x = 46x
(-20 + 46x + 10x2) = 0

Solving
-20 + 46x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 23x + 5x2) = 0

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

Ignore the factor 2.

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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-5, 0.4}

See similar equations:

| 21x+6=17x+24 | | 2x^2+45+x=0 | | 24.45-3.1t=21.05 | | 3+4z(2y+1)= | | 16x-10x+9=99-300 | | 2w+6x+12y+7w+8x+7y= | | 5x(3x+24)=0 | | -10=4(w-2)-6w | | 5a-15=11-5a | | sqrt(x*x+2)-sqrt(x*x+1)=y | | 2x-338=0 | | -9(t-2)=4ct-5 | | 32=2y-3+5y | | y-5.7=4(x-1.5) | | 38r-14-17r=16 | | -1=s+-19 | | 0=-7x+12-7x | | x+2=2(x+3) | | (5y+23)(9y+22)=0 | | s+-28=0 | | 14-2(w+1)=6w-2(6+w) | | 3x+3(1-5x)=11-8x | | -6(4m-7)=11-8x | | 3m-7m=pform | | -20-4n=4(n-5) | | 3-4v=-7(8v+7) | | x^2=67c | | ln(x-4)+ln(x+4)=k | | y=x^2+11x+17 | | 6(-x-7)=-90 | | 102=6(5+3k) | | 4x=2(4x)-12 |

Equations solver categories