(5x+9)(4x-6)=

Simple and best practice solution for (5x+9)(4x-6)= 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+9)(4x-6)= equation: 


Simplifying
(5x + 9)(4x + -6) = 0

Reorder the terms:
(9 + 5x)(4x + -6) = 0

Reorder the terms:
(9 + 5x)(-6 + 4x) = 0

Multiply (9 + 5x) * (-6 + 4x)
(9(-6 + 4x) + 5x * (-6 + 4x)) = 0
((-6 * 9 + 4x * 9) + 5x * (-6 + 4x)) = 0
((-54 + 36x) + 5x * (-6 + 4x)) = 0
(-54 + 36x + (-6 * 5x + 4x * 5x)) = 0
(-54 + 36x + (-30x + 20x2)) = 0

Combine like terms: 36x + -30x = 6x
(-54 + 6x + 20x2) = 0

Solving
-54 + 6x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-27 + 3x + 10x2) = 0

Factor a trinomial.
2((-9 + -5x)(3 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -5x)' equal to zero and attempt to solve:

Simplifying
-9 + -5x = 0

Solving
-9 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -5x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = 0 + 9
-5x = 0 + 9

Combine like terms: 0 + 9 = 9
-5x = 9

Divide each side by '-5'.
x = -1.8

Simplifying
x = -1.8

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 = {-1.8, 1.5}

See similar equations:

| 1/x^4-x^2=0 | | 4(4x-6)=20x-30 | | 23x-12=7(3x-1)+2x-5 | | 3t+6=5t+8 | | 3x^2-2=194 | | 4x-(3)(-2)=18 | | x^2-3x=187/4 | | 4x-111+x=1566 | | -3ab+4=-14 | | x^3-x=2(x-1) | | 3x-1/2y=6 | | 18-5p=17 | | 18x+3=39 | | X(x-4)(x+7)(2x-9)(3x+1)=0 | | 6x-2=97 | | 31p(p)+41p= | | (9y+18)(12y-48)(36y-72)=0 | | 4x=x+39 | | (6x-7)(x^2-8x+1)= | | 50.40/0.05 | | 2x^3-18x^2+28x+36=0 | | n-1/4=-1/2 | | 4x-x*2=0 | | 2.7x+34.5=4.7-12.2x | | X=32y^5 | | (5x-17)=(3x-14) | | 4y+2y=54 | | 6(x+5)=(4*x)+13 | | -3x-4=-12x-6 | | 2x^2-4x^2-96x=-8x^2 | | -3x-4=12x-6 | | 6(x+5)=4(13+x) |

Equations solver categories