(4x+1)(x-8)=0

Simple and best practice solution for (4x+1)(x-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 (4x+1)(x-8)=0 equation: 


Simplifying
(4x + 1)(x + -8) = 0

Reorder the terms:
(1 + 4x)(x + -8) = 0

Reorder the terms:
(1 + 4x)(-8 + x) = 0

Multiply (1 + 4x) * (-8 + x)
(1(-8 + x) + 4x * (-8 + x)) = 0
((-8 * 1 + x * 1) + 4x * (-8 + x)) = 0
((-8 + 1x) + 4x * (-8 + x)) = 0
(-8 + 1x + (-8 * 4x + x * 4x)) = 0
(-8 + 1x + (-32x + 4x2)) = 0

Combine like terms: 1x + -32x = -31x
(-8 + -31x + 4x2) = 0

Solving
-8 + -31x + 4x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve:

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 0 + 1
-4x = 0 + 1

Combine like terms: 0 + 1 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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 = {-0.25, 8}

See similar equations:

| -10(9x-9y+8)= | | 7(6x-10)+10=7x+3 | | 3n+-2=5n+12 | | -5+0=-5 | | 49+19d=37 | | 14=-2(p-1) | | 2x+(-8)=-10 | | 4y^3+48y^2=4y^4 | | 13+10p=103 | | v+3(v-3)=7(v-3) | | 2x-6+4x=45+8 | | 2x+34=4(x+5) | | -3x+3=-15+6x | | N+0.8=n+1 | | 5x+7=8x-29 | | x-41=3 | | 4u-2=-6u+28 | | 5w+6=16 | | 3.95p+0.85t= | | 3.95p+0.85= | | 9q=5q+24 | | -12= | | 4x+2=22-8x | | 5b+6b=99 | | 4.8(j+3)=1.2(2j-8) | | 6+(7+3)*5+1+2+17+(5*2)*1+18= | | 8+(12+6)=(8+12)+6 | | 4x+50=6x+20 | | 4x-13=2x+9 | | 4x-13=-2x+9 | | 5a=45 | | 35x^2+23x-6=0 |

Equations solver categories