(2x-7)(4x+8)=0

Simple and best practice solution for (2x-7)(4x+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 (2x-7)(4x+8)=0 equation: 


Simplifying
(2x + -7)(4x + 8) = 0

Reorder the terms:
(-7 + 2x)(4x + 8) = 0

Reorder the terms:
(-7 + 2x)(8 + 4x) = 0

Multiply (-7 + 2x) * (8 + 4x)
(-7(8 + 4x) + 2x * (8 + 4x)) = 0
((8 * -7 + 4x * -7) + 2x * (8 + 4x)) = 0
((-56 + -28x) + 2x * (8 + 4x)) = 0
(-56 + -28x + (8 * 2x + 4x * 2x)) = 0
(-56 + -28x + (16x + 8x2)) = 0

Combine like terms: -28x + 16x = -12x
(-56 + -12x + 8x2) = 0

Solving
-56 + -12x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-14 + -3x + 2x2) = 0

Factor a trinomial.
4((-2 + -1x)(7 + -2x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-2, 3.5}

See similar equations:

| 0=-2(-1)-15 | | 2(x+7)=4x-3 | | 2/x+(2)=3/4x+(17)/8 | | y=-(2x^2)-12x-22 | | 9x+1-3x=6x-7+x | | 6(k-2)-5=5k-(4k-1) | | 3(-10)(-5)= | | (x+1)/2=10-(x+6)/3 | | 5(p+3)+9=3P-6+6 | | ((2r-3)/3)=3/5 | | f(x)=x^5-x^4+1 | | 4m+2-m=-1 | | 4000/5=500 | | -x+5=2x+1 | | -0.01-0.34=2 | | 5x^2+44x+94=0 | | 3x-5+12x-4x+14=86 | | 5x+x-8= | | ((x+3)/2)=15 | | y=x^5-16x^3 | | F/(-9)+4 | | f(x)=x^5-16x^3 | | 3+6=9(w+2) | | 3x^2+4xy-5y^2=93 | | 6+(-9)= | | 7x+2y-4x-1y= | | 1.29x=15 | | 1/2*3/5(2^3-6)+1/5 | | 5x+7-4x=13 | | 31+3y-9=14y-13-4y | | x-4-3x=-10+6 | | -27-(-16)=x/11 |

Equations solver categories