(x-5)(5x+8)=0

Simple and best practice solution for (x-5)(5x+8)=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 (x-5)(5x+8)=0 equation: 


Simplifying
(x + -5)(5x + 8) = 0

Reorder the terms:
(-5 + x)(5x + 8) = 0

Reorder the terms:
(-5 + x)(8 + 5x) = 0

Multiply (-5 + x) * (8 + 5x)
(-5(8 + 5x) + x(8 + 5x)) = 0
((8 * -5 + 5x * -5) + x(8 + 5x)) = 0
((-40 + -25x) + x(8 + 5x)) = 0
(-40 + -25x + (8 * x + 5x * x)) = 0
(-40 + -25x + (8x + 5x2)) = 0

Combine like terms: -25x + 8x = -17x
(-40 + -17x + 5x2) = 0

Solving
-40 + -17x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -5x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 2
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
Solution
x = {-1.6, 5}

See similar equations:

| 12x=8x+3 | | 2(3x+3)=3(x+2) | | 20=-4x-2-6x-2 | | 3x-3=-6x+7 | | X^2+3x=8x-14 | | 20c+=5c+65 | | 4(cos)x=1+2(cos)x | | a-d^2= | | 13(h-7)=9 | | 5ln(5x+2)=30 | | 6n-8n=7(n+5)-5(n+7) | | 3+2yi=-x+6i | | -6(-4+4n)=3(-3-8n)+3n | | -6(-4+4n)=-3(-3-8n)+3n | | 4x+10-2x=38 | | 35+2x=9x | | 7x-2=3x+30 | | 144=11c--26 | | x^3-11x+110=0 | | y=x+2x-24 | | 6a+6=4a+10 | | 5x-15=x+25 | | 7(1-7x)-2x=4+3(1+6x) | | x+(x*0.05)+((x*0.05)*0.01)=250 | | 3a+b-a+2b= | | -6x=3x-45 | | -3(1+5x)+6(1+4x)=9x+1 | | (k-6)(k+1)=0 | | -7v+5(v+5)=-5v-(5-8v) | | 6(p+6)=5p-7(p-4) | | (x-4)(x-4)-9=0 | | y=5-4-x^2 |

Equations solver categories