(4x-16)(x+5)=0

Simple and best practice solution for (4x-16)(x+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 (4x-16)(x+5)=0 equation:


Simplifying
(4x + -16)(x + 5) = 0

Reorder the terms:
(-16 + 4x)(x + 5) = 0

Reorder the terms:
(-16 + 4x)(5 + x) = 0

Multiply (-16 + 4x) * (5 + x)
(-16(5 + x) + 4x * (5 + x)) = 0
((5 * -16 + x * -16) + 4x * (5 + x)) = 0
((-80 + -16x) + 4x * (5 + x)) = 0
(-80 + -16x + (5 * 4x + x * 4x)) = 0
(-80 + -16x + (20x + 4x2)) = 0

Combine like terms: -16x + 20x = 4x
(-80 + 4x + 4x2) = 0

Solving
-80 + 4x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + x + x2) = 0

Factor a trinomial.
4((-5 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-5, 4}

See similar equations:

| y-5x+7=0 | | 10x+5=50 | | (4x+7)=(7x-5) | | 1/2(2d-34)=2/3(6d-27) | | 100x+35=10 | | 9.6y-15.4=-4.3y+26.3 | | 3y=(-2y)-15 | | x+2x+3x+4x+5x=10 | | 3(3x+7)-4+2x=5x-5 | | 4x+1=2-7x | | 10000000x+99999=1 | | 7+-1= | | 3x+2-4y(2x)=34 | | 2(P+1)= | | 0.30(x-100,000.00)=1000000 | | (4x+3)(3x+2)= | | 0.3(x+30)+0.5x=25 | | 6x^3+14x^2+15x+35=0 | | 0.30(x-100,000.00)=1,000,000. | | 4c-6=6c+12+8 | | 3=-5w+8 | | 4+15z-2=8z+74-2z | | 5a-3=7 | | 4x+2y-9x+5y= | | 0.30(x-100,000.00)=1,000,000 | | 2ln(4x-5)=7 | | 0.30(x-100,000.00)=1,000,000.00 | | 5(2x-3)+6(x+5)=31 | | 4-0.6= | | X^2+34x+13=0 | | -5p+-10=4p-30+p | | 6x-7=40 |

Equations solver categories