4(x^2-3x-40)=0

Simple and best practice solution for 4(x^2-3x-40)=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 4(x^2-3x-40)=0 equation: 


Simplifying
4(x2 + -3x + -40) = 0

Reorder the terms:
4(-40 + -3x + x2) = 0
(-40 * 4 + -3x * 4 + x2 * 4) = 0
(-160 + -12x + 4x2) = 0

Solving
-160 + -12x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-40 + -3x + x2) = 0

Factor a trinomial.
4((-5 + -1x)(8 + -1x)) = 0

Ignore the factor 4.

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 '(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
Solution
x = {-5, 8}

See similar equations:

| 1-(17x-3)= | | 9x^3+6x^2-12x-8=0 | | 8x-3y=10 | | 4a-5=7a-7 | | 8x=2x^2 | | (X)(-16X)=0 | | -6y+22-y=1 | | 4w^2+20w=-25 | | 7w=2w^2-4 | | 4u^2+6=-11u | | -x^2+7.96x+1=0 | | liney=7 | | 12t^3+12t^2-12t-12=0 | | y-6=-7 | | 4-2x+3x-5+9x=12 | | 2(x^2+6x-16)=0 | | w^2+2w+1=0 | | -4x+7-3x=-7 | | 12x=21y-5 | | x^3+4x^2+5x+20=0 | | w^2+6w-7=0 | | 5.9y-2.7y=32 | | -4x-3x=-7 | | x^2+6x-32=0 | | (4u+2)(6-u)=0 | | k-90=-120 | | 2(8-x)=4(2x+4) | | 5w(w-8)(w+7)=0 | | 18=30-k | | -2x=-3+9 | | 18+11y+y^2= | | -n+34=3(n+6) |

Equations solver categories