(4x-3)(6x+2)=0

Simple and best practice solution for (4x-3)(6x+2)=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-3)(6x+2)=0 equation: 


Simplifying
(4x + -3)(6x + 2) = 0

Reorder the terms:
(-3 + 4x)(6x + 2) = 0

Reorder the terms:
(-3 + 4x)(2 + 6x) = 0

Multiply (-3 + 4x) * (2 + 6x)
(-3(2 + 6x) + 4x * (2 + 6x)) = 0
((2 * -3 + 6x * -3) + 4x * (2 + 6x)) = 0
((-6 + -18x) + 4x * (2 + 6x)) = 0
(-6 + -18x + (2 * 4x + 6x * 4x)) = 0
(-6 + -18x + (8x + 24x2)) = 0

Combine like terms: -18x + 8x = -10x
(-6 + -10x + 24x2) = 0

Solving
-6 + -10x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -5x + 12x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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

Simplifying
3 + -4x = 0

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

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-0.3333333333, 0.75}

See similar equations:

| sin^5x-cos^5x=1 | | 6r-19=-26+7r | | 3r-18=-20+2r | | 20800/30160 | | (5x-1)+14=25-x | | 264=(w+8)+s | | 3x+2x=2x+35 | | 4/10=1/15=n/30 | | 10t+28=10t+3 | | 2(3x-15)=14(34/2) | | (10i)(4i)= | | -14.9-w/8-2.1 | | -4-0=4 | | 4mn^2-2mn-14m^2n= | | 5(0)-2(-5)=10 | | 5(0)-2(5)=10 | | 8-w/7=6 | | 9=5(-3) | | t^2-3td-10d^2=0 | | -5=5(-1) | | -8(1)=-8 | | 5xy+15x+2y+6=0 | | 0=5(0) | | 16xy+2y= | | 5y-105=-35y-9 | | -72w-42=4w+10 | | x=2.4+.8x | | 3-2+5=1 | | 3(-2)+5=1 | | 3+5-2=1 | | 2x-10+3y+9=360 | | a+4a=10 |

Equations solver categories