(6x-8)(7x+8)=0

Simple and best practice solution for (6x-8)(7x+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 (6x-8)(7x+8)=0 equation: 


Simplifying
(6x + -8)(7x + 8) = 0

Reorder the terms:
(-8 + 6x)(7x + 8) = 0

Reorder the terms:
(-8 + 6x)(8 + 7x) = 0

Multiply (-8 + 6x) * (8 + 7x)
(-8(8 + 7x) + 6x * (8 + 7x)) = 0
((8 * -8 + 7x * -8) + 6x * (8 + 7x)) = 0
((-64 + -56x) + 6x * (8 + 7x)) = 0
(-64 + -56x + (8 * 6x + 7x * 6x)) = 0
(-64 + -56x + (48x + 42x2)) = 0

Combine like terms: -56x + 48x = -8x
(-64 + -8x + 42x2) = 0

Solving
-64 + -8x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + -4x + 21x2) = 0

Factor a trinomial.
2((-8 + -7x)(4 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

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

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-1.142857143, 1.333333333}

See similar equations:

| 3(3x-2)-2=3(x-3)+55 | | S*3/4=20 | | 3.6x-17.74=5.3 | | 5x+7=9x-9 | | 3.5x+3.75y=42 | | 8x+6y=4x+15 | | (5^2-3*5)/2 | | 6y-7=15y+65 | | (X^3)+(3x^2)-3=0 | | 7x-(5x+5)=11 | | 5n+18+2n+29=180 | | 3x^2+12x+180=0 | | r+3d+2=45 | | r+3d=45 | | 13x-4(3x+2)=-6-12 | | 6ab(5)(-2)= | | -4x^2-4x-7=x | | 2(4x-5)+x+7+4x+1=180 | | -4x^2-4x-7=-31 | | 23x+11y=17 | | 90+2x+7x-9=180 | | a^-5/64p^11 | | -4(4y-8)+2(3y+5)= | | 5(2y-3)=12 | | 4[0.5-2.5]=0 | | 2x+3x-9=36 | | 25-(x/3)=x/2 | | 2.5=7 | | x-20/x=1 | | 95/100 | | 1/4x-8=48 | | 18-[x]=10 |

Equations solver categories