6(3x-7)(4x+3)=0

Simple and best practice solution for 6(3x-7)(4x+3)=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 6(3x-7)(4x+3)=0 equation: 


Simplifying
6(3x + -7)(4x + 3) = 0

Reorder the terms:
6(-7 + 3x)(4x + 3) = 0

Reorder the terms:
6(-7 + 3x)(3 + 4x) = 0

Multiply (-7 + 3x) * (3 + 4x)
6(-7(3 + 4x) + 3x * (3 + 4x)) = 0
6((3 * -7 + 4x * -7) + 3x * (3 + 4x)) = 0
6((-21 + -28x) + 3x * (3 + 4x)) = 0
6(-21 + -28x + (3 * 3x + 4x * 3x)) = 0
6(-21 + -28x + (9x + 12x2)) = 0

Combine like terms: -28x + 9x = -19x
6(-21 + -19x + 12x2) = 0
(-21 * 6 + -19x * 6 + 12x2 * 6) = 0
(-126 + -114x + 72x2) = 0

Solving
-126 + -114x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-21 + -19x + 12x2) = 0

Factor a trinomial.
6((-3 + -4x)(7 + -3x)) = 0

Ignore the factor 6.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-0.75, 2.333333333}

See similar equations:

| dy/dx=y^2/3 | | a(x)=2x^2-6x+4 | | -3(2x+4)-4=-2(x+5)+3x | | y^2(1-x^2)-cos^2x=c | | x(x+4)=(x+2)(2x+3) | | 3-3x=7-5x | | 27+16+7y-7=180 | | 1/3x3.14x8x8h | | 3x-7=-x-35 | | 2/3x-4=24 | | 3/5-7/3 | | (2x+7)(3x+-12)= | | 3x+4=62 | | 3x-10-5x=x-7 | | -9-x-7x=39 | | 3x^2+12x+13=4x^2+20x+25 | | 5X+4Y+0.25Z=100 | | 14x+8x-4=180 | | 4=-0.5x^2+6 | | -9z+6+7z=-3z+11 | | 1/2:1/3:1/6 | | 2p+22=12 | | (2x+2)(2x+2)=(x+3)(4x-2) | | -3x-63=x+25 | | x./.3-1=4 | | 0=x^3+6x^2+12x-8 | | 2(4-2+b)=-3(8b+20)-7 | | (x-7)3=729 | | 640=2(w+3w-12) | | -0.9808=-0.00936*t*1 | | 11=9t/5 | | -5.03+(-10.2)-(-6)= |

Equations solver categories