(5x+3)(6x-9)=0

Simple and best practice solution for (5x+3)(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 (5x+3)(6x-9)=0 equation: 


Simplifying
(5x + 3)(6x + -9) = 0

Reorder the terms:
(3 + 5x)(6x + -9) = 0

Reorder the terms:
(3 + 5x)(-9 + 6x) = 0

Multiply (3 + 5x) * (-9 + 6x)
(3(-9 + 6x) + 5x * (-9 + 6x)) = 0
((-9 * 3 + 6x * 3) + 5x * (-9 + 6x)) = 0
((-27 + 18x) + 5x * (-9 + 6x)) = 0
(-27 + 18x + (-9 * 5x + 6x * 5x)) = 0
(-27 + 18x + (-45x + 30x2)) = 0

Combine like terms: 18x + -45x = -27x
(-27 + -27x + 30x2) = 0

Solving
-27 + -27x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + -9x + 10x2) = 0

Factor a trinomial.
3((-3 + -5x)(3 + -2x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 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 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 2
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
Solution
x = {-0.6, 1.5}

See similar equations:

| 9(n+3)=4+13a | | 9/13-x=9/13 | | f=(ma-mv)/t | | 9/13-x | | 11a^2-a-7=0 | | 27-6x=19-4x | | -5x-12=-29 | | (5-9x)/6=-2 | | 4x^2=6+7 | | 1000/5 | | 8u+28=20 | | x+6(3)=15 | | 3x-5=24x+2 | | 3x-15-8x+16=-2x+22 | | 3(15-6y)+6y=9 | | 12a^2+9a-13=0 | | 2y-(3*0.6y+2.7)= | | 24a-18b= | | Z*7-6=2 | | -7(x+2)-4=12x+5 | | 4(x-6)=3(2+x) | | P^2-7p+7=0 | | -3/2x-2=6/4x-3 | | 9x^2+24-16=0 | | 8(x+8)-(4+4x)=3x | | F(x)=6x^2-3x-3 | | (4x-8)/x=12 | | 0=27x^3-1 | | (4x-8/x)=12 | | 8x^5+4x^2-12= | | 268+w=687 | | 4(4+y)= |

Equations solver categories