(7x-4)(3x-9)=0

Simple and best practice solution for (7x-4)(3x-9)=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 (7x-4)(3x-9)=0 equation: 


Simplifying
(7x + -4)(3x + -9) = 0

Reorder the terms:
(-4 + 7x)(3x + -9) = 0

Reorder the terms:
(-4 + 7x)(-9 + 3x) = 0

Multiply (-4 + 7x) * (-9 + 3x)
(-4(-9 + 3x) + 7x * (-9 + 3x)) = 0
((-9 * -4 + 3x * -4) + 7x * (-9 + 3x)) = 0
((36 + -12x) + 7x * (-9 + 3x)) = 0
(36 + -12x + (-9 * 7x + 3x * 7x)) = 0
(36 + -12x + (-63x + 21x2)) = 0

Combine like terms: -12x + -63x = -75x
(36 + -75x + 21x2) = 0

Solving
36 + -75x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + -25x + 7x2) = 0

Factor a trinomial.
3((4 + -7x)(3 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 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 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.5714285714, 3}

See similar equations:

| 5r-2=15 | | 17x/4-6=0 | | x-4/3=-10/3 | | 16x-5=0 | | 7.69x^2+2.73x=5.36 | | 0.35(s+0.34)+0.155=0.2s-1.66 | | 5/7k=1/9 | | 18+.09(y+5000)=1800 | | 27x-10-19x=4(2x-3)+2 | | 1.3x-2.7y-4.3x-6.6y= | | -5/3x=-10 | | 10x^4-110x^2+100=0 | | 4(3+6x)-4=32 | | 5(x-3)+6=4x-3 | | 2/5y-8=9-3/8y | | 4x^4-2x^3-1x^2=0 | | 2x-4+12=5x-7 | | x-8.3=-3.7 | | x+7=3x-2 | | x+29=21 | | (2-i)-(5-9i)= | | 32-5x=42 | | 1/3x+1/4=-1 | | 5y-2(2y)=11 | | 20x+5-24x-1=180 | | 1/4(x-7)1+3x | | 2t^2+7=9t | | 5x^2=-480 | | 2*29/4+3/4+6/4=16.75 | | 2*29/4+3/4+6/4=16.75 | | 3+5(x-9)=3x | | -5+3x-x-2+9x= |

Equations solver categories