(5x+40)(4x-24)=0

Simple and best practice solution for (5x+40)(4x-24)=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+40)(4x-24)=0 equation: 


Simplifying
(5x + 40)(4x + -24) = 0

Reorder the terms:
(40 + 5x)(4x + -24) = 0

Reorder the terms:
(40 + 5x)(-24 + 4x) = 0

Multiply (40 + 5x) * (-24 + 4x)
(40(-24 + 4x) + 5x * (-24 + 4x)) = 0
((-24 * 40 + 4x * 40) + 5x * (-24 + 4x)) = 0
((-960 + 160x) + 5x * (-24 + 4x)) = 0
(-960 + 160x + (-24 * 5x + 4x * 5x)) = 0
(-960 + 160x + (-120x + 20x2)) = 0

Combine like terms: 160x + -120x = 40x
(-960 + 40x + 20x2) = 0

Solving
-960 + 40x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(-48 + 2x + x2) = 0

Factor a trinomial.
20((-8 + -1x)(6 + -1x)) = 0

Ignore the factor 20.

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

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8, 6}

See similar equations:

| -a+(-3a)+15+5a-(-2)= | | 6-a+4-12a-11= | | x+2(x+4)=-4 | | 4+x+(-10)-11x= | | -3x^3+2x^2+16x=13 | | 3x^4-8x^2-3=0 | | 27+7=23 | | 5x+16=14x-65 | | 5-9x=19+5x | | 4(2x-2)=5x-17 | | 18x^2=32 | | 11(x-6)=4(2x+5) | | a^2-11a+24=0 | | a^3-11a+24=0 | | (x+2)2-4x=20 | | -12000x^5+5000x^4-5000=0 | | a^3+a^2-9a-9=0 | | 4-6x=40 | | 3(2x+3)+2(x+1)=4 | | 2x^2-9x-4=0 | | 44=2*3.14r | | 5x-7=4+x | | 3q^2-24q+48=0 | | 3-17+8=8+x-3 | | 77=0.5h(6+5) | | 11x-5=6x-3 | | -3x^3+2x^2+16x+13=0 | | 2(x-3)-x+5=3-7 | | y^7-625y^3= | | 6-5x=8+3x | | 2a^2+13a=-20 | | 27-12=x-9 |

Equations solver categories