(6x-8)(2x-3)=

Simple and best practice solution for (6x-8)(2x-3)= 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)(2x-3)= equation: 


Simplifying
(6x + -8)(2x + -3) = 0

Reorder the terms:
(-8 + 6x)(2x + -3) = 0

Reorder the terms:
(-8 + 6x)(-3 + 2x) = 0

Multiply (-8 + 6x) * (-3 + 2x)
(-8(-3 + 2x) + 6x * (-3 + 2x)) = 0
((-3 * -8 + 2x * -8) + 6x * (-3 + 2x)) = 0
((24 + -16x) + 6x * (-3 + 2x)) = 0
(24 + -16x + (-3 * 6x + 2x * 6x)) = 0
(24 + -16x + (-18x + 12x2)) = 0

Combine like terms: -16x + -18x = -34x
(24 + -34x + 12x2) = 0

Solving
24 + -34x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -17x + 6x2) = 0

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

Ignore the factor 2.

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:

| 2q(5+2)=2 | | -26x=83.2 | | 7(x-1)+9=4x+3(1+x) | | 2q=7.2 | | -4(6v-2)+3v=-5(v+2) | | 27.5=2.5s | | 2(x-4)-5=6x-4(3+x) | | 2a^2-3=95 | | -3-10x= | | -5.2d=31.2 | | w+9-3(-5w-1)=2(w-3) | | 7(7x+5)-3=48x+32 | | -18.5=-3.7q | | h(T)=-4.9t^2+29.4t+1 | | (6x)/(x^3/4) | | 4+2(4u-4)=-2(4u-1)+4u | | x+11=4x-40 | | 331/3x£120 | | 8x+16=6x-8 | | 1474=22t | | 1474=33t | | 15(b+8)=3(40+5n) | | 0=(x-i)(x+i)(x-2i)(x+2i) | | -4+12=-4(2y+2) | | 0.25x+0.166=x+1.66 | | 90=9(m+3.7) | | 2x+8=33x+3 | | 3x-7+2(3x+4)=-3(x+1) | | -4c=8 | | (x-2)(x+8)=11 | | h(x)=x^3-x^2-4x+4 | | 2y+3=3*y+7 |

Equations solver categories