(3x-9)(7x+8)=0

Simple and best practice solution for (3x-9)(7x+8)=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-9)(7x+8)=0 equation: 


Simplifying
(3x + -9)(7x + 8) = 0

Reorder the terms:
(-9 + 3x)(7x + 8) = 0

Reorder the terms:
(-9 + 3x)(8 + 7x) = 0

Multiply (-9 + 3x) * (8 + 7x)
(-9(8 + 7x) + 3x * (8 + 7x)) = 0
((8 * -9 + 7x * -9) + 3x * (8 + 7x)) = 0
((-72 + -63x) + 3x * (8 + 7x)) = 0
(-72 + -63x + (8 * 3x + 7x * 3x)) = 0
(-72 + -63x + (24x + 21x2)) = 0

Combine like terms: -63x + 24x = -39x
(-72 + -39x + 21x2) = 0

Solving
-72 + -39x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + -13x + 7x2) = 0

Factor a trinomial.
3((-8 + -7x)(3 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 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 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

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 = {-1.142857143, 3}

See similar equations:

| b^2+3b+40= | | -4+3x=14x-6 | | 7x+31+91=157 | | 2x+53=69 | | (6/x-3)-(2x/x-3) | | a^2x^2+x+1=ax^2+2ax | | 2x-8/x | | 5x=2x+4y | | 15x^3+4=0 | | 8(7x+11)=536 | | -3/4•x=27 | | 3/4n=16 | | 2x-y^2-6+1=0 | | 2e^2x+4=22 | | 3x=300+12x | | 48x-6(8x-4)-7= | | x^3-9x^2-28=0 | | 3/5b=18/25 | | 11x+4=7x+56 | | -3q^2(8)= | | 3x=1/2=y/5 | | 18/10.8=h/7.8 | | 12x-149=3x-5 | | x^2+1x-145=0 | | 2x+2y=165 | | Y-6=1/2(X-5) | | k^2-9k+16=-4 | | -3q^2(-2q^2+8)= | | 70=3x+2 | | 2z=-91 | | 15x+8y=192 | | u/781=70/71 |

Equations solver categories