(4x-4)(8x+2)=0

Simple and best practice solution for (4x-4)(8x+2)=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-4)(8x+2)=0 equation: 


Simplifying
(4x + -4)(8x + 2) = 0

Reorder the terms:
(-4 + 4x)(8x + 2) = 0

Reorder the terms:
(-4 + 4x)(2 + 8x) = 0

Multiply (-4 + 4x) * (2 + 8x)
(-4(2 + 8x) + 4x * (2 + 8x)) = 0
((2 * -4 + 8x * -4) + 4x * (2 + 8x)) = 0
((-8 + -32x) + 4x * (2 + 8x)) = 0
(-8 + -32x + (2 * 4x + 8x * 4x)) = 0
(-8 + -32x + (8x + 32x2)) = 0

Combine like terms: -32x + 8x = -24x
(-8 + -24x + 32x2) = 0

Solving
-8 + -24x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + -3x + 4x2) = 0

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

Ignore the factor 8.

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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-0.25, 1}

See similar equations:

| 7(v+2)-4v=-10 | | f(x)=2x^4-4x^3+10 | | 27=5y+9y | | f(x)=2x^3-2x | | 5a+4=-11 | | 4t-5WHENt=-6 | | 14-3x=-3 | | 80/12= | | -6+3(1+5x)=72 | | x+11.15=18.15 | | P/11=9 | | a=2x+px | | x^2+36x+36=-5 | | -6-2/3y | | x+18.15=11.15 | | (x^2-2x-8)(-x^2+3x-5)=0 | | 18x^2-32=1x-18x^2 | | 5.5x=66 | | -2=m/2 | | ln(6-x)-2lnx=0 | | x-18.15=15.11 | | 18=-2m-7m | | 83=8x | | 4(m-2)=22 | | 1234=2353 | | 3d+1=2x+10 | | -n-2n=6 | | 1x-8=56 | | 0.43=3.01 | | (-4x^2-5x-1)(4x^2-6x-2)=0 | | 5x+45=1.70 | | 6x+10y=-90 |

Equations solver categories