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

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


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

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

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

Multiply (2 + 8x) * (-8 + 2x)
(2(-8 + 2x) + 8x * (-8 + 2x)) = 0
((-8 * 2 + 2x * 2) + 8x * (-8 + 2x)) = 0
((-16 + 4x) + 8x * (-8 + 2x)) = 0
(-16 + 4x + (-8 * 8x + 2x * 8x)) = 0
(-16 + 4x + (-64x + 16x2)) = 0

Combine like terms: 4x + -64x = -60x
(-16 + -60x + 16x2) = 0

Solving
-16 + -60x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + -15x + 4x2) = 0

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

Ignore the factor 4.

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 '(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 = {-0.25, 4}

See similar equations:

| (15x+-20)=90 | | -5x-16x=-12x+(-x) | | 5-3a=-15 | | 360=13e+5b | | 6x+26=0 | | y-9=1/2(x-5) | | 9.6a+5.61=50.07 | | (4/5*5/6) | | (15x-20)+(5x-10)=90 | | 5x^2+120x=0 | | 2x=-7+12 | | 7x-6-9x=-8 | | (2/3/3/4) | | 3f+3(-6f-8)=-8 | | 1/2/3/4= | | 2q-3/5=7/10 | | 1/2/3/4 | | 0=10x^2+32x+3.7 | | 5(x-1)+65=90 | | -3f+3(-6b-8)=-8 | | .2(x+10)=5 | | -9x=95 | | 18+4k=34 | | -2(3x-5)=-12 | | .2x+10=5 | | 9x=95 | | -2s+3=5s+6 | | .2x=10+5 | | -5+7x=-29+x | | 1/3x-9=3/4 | | 6+4x=x+42 | | -6+0x=-14+x |

Equations solver categories