(4x-6)(6x+8)=0

Simple and best practice solution for (4x-6)(6x+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 (4x-6)(6x+8)=0 equation: 


Simplifying
(4x + -6)(6x + 8) = 0

Reorder the terms:
(-6 + 4x)(6x + 8) = 0

Reorder the terms:
(-6 + 4x)(8 + 6x) = 0

Multiply (-6 + 4x) * (8 + 6x)
(-6(8 + 6x) + 4x * (8 + 6x)) = 0
((8 * -6 + 6x * -6) + 4x * (8 + 6x)) = 0
((-48 + -36x) + 4x * (8 + 6x)) = 0
(-48 + -36x + (8 * 4x + 6x * 4x)) = 0
(-48 + -36x + (32x + 24x2)) = 0

Combine like terms: -36x + 32x = -4x
(-48 + -4x + 24x2) = 0

Solving
-48 + -4x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -1x + 6x2) = 0

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

Ignore the factor 4.

Subproblem 1
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

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-1.333333333, 1.5}

See similar equations:

| 2.4n+6=10 | | (35)2+0.6= | | 1/8-10(3/4-3/8x) | | 5(v-7)-8v=-23 | | 4(x-3)=12+2x | | 2n+25=5n+29 | | 3X-2(11)=6x-5(5) | | 3b+6+2b-6=.5 | | 3x+3=-5x+35 | | 2x-7=360 | | 6x-24=6x | | 36000/1000 | | -16f+28=-4(4f-7) | | 6x+3x+9=53 | | 36,200/100 | | 7x^2-12=9 | | 3p^2+7p-48=0 | | 4=x^2-12 | | 6n=4.36 | | 8(5q+6)=88 | | A/2-3=13 | | 5+3x+6x=77 | | 2x+18+3x+2=90 | | 0.4(17-4.25x)-3.15=4.16 | | 5y^2-12=3 | | 6x-3(-x-15)=126 | | 4x-63=-x+57 | | -4lnx=-1 | | 3x-15=360 | | 2x+20=x+15 | | 3+2(lnx)=19 | | 23x-7+12-19x= |

Equations solver categories