(9x-7)(6x+9)=0

Simple and best practice solution for (9x-7)(6x+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 (9x-7)(6x+9)=0 equation: 


Simplifying
(9x + -7)(6x + 9) = 0

Reorder the terms:
(-7 + 9x)(6x + 9) = 0

Reorder the terms:
(-7 + 9x)(9 + 6x) = 0

Multiply (-7 + 9x) * (9 + 6x)
(-7(9 + 6x) + 9x * (9 + 6x)) = 0
((9 * -7 + 6x * -7) + 9x * (9 + 6x)) = 0
((-63 + -42x) + 9x * (9 + 6x)) = 0
(-63 + -42x + (9 * 9x + 6x * 9x)) = 0
(-63 + -42x + (81x + 54x2)) = 0

Combine like terms: -42x + 81x = 39x
(-63 + 39x + 54x2) = 0

Solving
-63 + 39x + 54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + 13x + 18x2) = 0

Factor a trinomial.
3((-3 + -2x)(7 + -9x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(7 + -9x)' equal to zero and attempt to solve:

Simplifying
7 + -9x = 0

Solving
7 + -9x = 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 + -9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = 0 + -7
-9x = 0 + -7

Combine like terms: 0 + -7 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778
Solution
x = {-1.5, 0.7777777778}

See similar equations:

| 5(a-b)=xa+xb | | 3(4+2x)=3x-6 | | 5(a-b)=x(a+b) | | x^5+2*x^4+5*x^3+3*x^2-2*x-2=0 | | 5a-b=x(a+b) | | y+42=45 | | 2*7-42=140 | | 1/9x1/9 | | (5x/12)-(1/3)=x/8 | | 4(x+p)=12 | | log(x+1)*81=2 | | (y^2-x*y)dx+(x^2+x*y)dy=0 | | a-17=56 | | (2x/5)-(3/10)=x/4 | | 2s^7+4s^6-6s^5=0 | | 5-q=-p | | F(x)=-3xsquared-2x+5 | | Y=-0.25*7-2 | | (xy)dy+(x^2+y^2)dx=0 | | y=0.5*(x^2-10x+25) | | 38+x=-40 | | F(x)=xsquared-8x+3 | | b+25=98 | | 11q-19=-41 | | 9x=2x-21 | | 3w+4w=63-2w | | 4(x-7)=3(9-1/3x) | | Y=-0.25*4-2 | | 600/(23-x)=50 | | 7x^2+5x-4=0 | | 2p+14=22 | | 4(x-7)=3(9-1/3x |

Equations solver categories