(3x-7)(8x+4)=0

Simple and best practice solution for (3x-7)(8x+4)=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 (3x-7)(8x+4)=0 equation: 


Simplifying
(3x + -7)(8x + 4) = 0

Reorder the terms:
(-7 + 3x)(8x + 4) = 0

Reorder the terms:
(-7 + 3x)(4 + 8x) = 0

Multiply (-7 + 3x) * (4 + 8x)
(-7(4 + 8x) + 3x * (4 + 8x)) = 0
((4 * -7 + 8x * -7) + 3x * (4 + 8x)) = 0
((-28 + -56x) + 3x * (4 + 8x)) = 0
(-28 + -56x + (4 * 3x + 8x * 3x)) = 0
(-28 + -56x + (12x + 24x2)) = 0

Combine like terms: -56x + 12x = -44x
(-28 + -44x + 24x2) = 0

Solving
-28 + -44x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + -11x + 6x2) = 0

Factor a trinomial.
4((-1 + -2x)(7 + -3x)) = 0

Ignore the factor 4.

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-0.5, 2.333333333}

See similar equations:

| 4(x-2)+x(7+5)=x(5-2)-3(6+x)+2 | | 9x-6=6x | | 13n=6-6n | | f+9=19 | | (3x-1)(8x+4)=0 | | 2b+3-3=4(b-3) | | 6v-2=5v | | 5(4x-3)=5x+30 | | p-4=(-9)+p | | 3(2z+5)=3z/4+36 | | 4w+10=2(w+10) | | 4.3x-3=3.3x | | 3*4/n=30/4 | | 2x+4=-2(0.5-x) | | 4n+20=80 | | 49-x-4=3(x-4)+1 | | 3*22/n=30/4 | | 21/2*5 | | x-8.3=-3.8 | | 2x^2-20x=-5x^2-7x-6 | | 2x^3-4x^2+16x=0 | | 7+d=11 | | 18x^2-17x-1=0 | | 10/x-2x+8 | | 3(3x-4)=5(x-3)+10 | | 4n+3=17 | | 6x+15=3x+81 | | (9x-1)(2x+1)-6=0 | | x-8.3=3.8 | | 39-x=-87-8x | | -7z-4=7z+10 | | 61-7x=29x+21 |

Equations solver categories