(3x-8)(6x-14)=0

Simple and best practice solution for (3x-8)(6x-14)=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-8)(6x-14)=0 equation: 


Simplifying
(3x + -8)(6x + -14) = 0

Reorder the terms:
(-8 + 3x)(6x + -14) = 0

Reorder the terms:
(-8 + 3x)(-14 + 6x) = 0

Multiply (-8 + 3x) * (-14 + 6x)
(-8(-14 + 6x) + 3x * (-14 + 6x)) = 0
((-14 * -8 + 6x * -8) + 3x * (-14 + 6x)) = 0
((112 + -48x) + 3x * (-14 + 6x)) = 0
(112 + -48x + (-14 * 3x + 6x * 3x)) = 0
(112 + -48x + (-42x + 18x2)) = 0

Combine like terms: -48x + -42x = -90x
(112 + -90x + 18x2) = 0

Solving
112 + -90x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(56 + -45x + 9x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {2.333333333, 2.666666667}

See similar equations:

| 24y-30= | | 4x+12=68-10x | | -7-5=14x-8x | | 2.5x^2-10=0 | | x/8=x+5/x-10 | | 2.5x-10=0 | | 2x+21=12x-103 | | (-74)-8x=10x+16 | | x^2-10x=8x+40 | | x^2-10x=80x+40 | | d-2c= | | 10(-9m+1)=8(6m-1) | | (n-3)*8=56 | | (12+12u)+3= | | (n-9)*4=36 | | 4x+3=9+3 | | 5x+220=13x-12 | | ln(5x^2)/ln(6x^3) | | 8x=24+4x | | 3x-11=-73-9x | | 5(11-2x)=15 | | 4(-3)+2y=8 | | 9y-30+4y=9 | | n*7=108 | | n+22=40 | | 3(4x+5)=27 | | 4(-3)+2y=8findy | | n^2-n-12/4-n^2(x)n-2/n-4 | | n-2/n-4 | | n^2-n-12/4-n^2 | | 40+90+10x=180 | | 70+80+5x=180 |

Equations solver categories