(2x-8)(4x+3)=0

Simple and best practice solution for (2x-8)(4x+3)=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 (2x-8)(4x+3)=0 equation: 


Simplifying
(2x + -8)(4x + 3) = 0

Reorder the terms:
(-8 + 2x)(4x + 3) = 0

Reorder the terms:
(-8 + 2x)(3 + 4x) = 0

Multiply (-8 + 2x) * (3 + 4x)
(-8(3 + 4x) + 2x * (3 + 4x)) = 0
((3 * -8 + 4x * -8) + 2x * (3 + 4x)) = 0
((-24 + -32x) + 2x * (3 + 4x)) = 0
(-24 + -32x + (3 * 2x + 4x * 2x)) = 0
(-24 + -32x + (6x + 8x2)) = 0

Combine like terms: -32x + 6x = -26x
(-24 + -26x + 8x2) = 0

Solving
-24 + -26x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -13x + 4x2) = 0

Factor a trinomial.
2((-3 + -4x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 0 + 3
-4x = 0 + 3

Combine like terms: 0 + 3 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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 = {-0.75, 4}

See similar equations:

| 107=2-7(1-2b) | | A=1bh | | 163=-x+209 | | 4x+7+1=12+4x | | (8+y)(4y+6)=0 | | 0.004x+0.03+0.05=3.45 | | 10x+21+13x=90 | | -v+93=220 | | -11(2x-6)=-29 | | -2.1-x=-2 | | 72-3x=3x | | 8X-49=3X+11 | | x+1.2=-0.17 | | 6-3(7x-5)=168 | | 13-3r=-7r+6-5 | | -1+5x=6x-7 | | x-9=-3.1 | | 5000=91x | | 21=7(x-5) | | 11(5x-4)-11x=10-8 | | 8x=15-2x | | x-(-6)=-9 | | 84=5x-4(6x-2) | | -3(5+2(-4+9))+15= | | -8r+7r=-14+r+6-8 | | -13x=8 | | -2(a-3)=6 | | 5y+3y=40 | | 3y^3+12y^2=15y | | 2.5p(2p+5)=5p+12.5 | | 48=2u+12 | | 16=-5z+16 |

Equations solver categories