(9X+4)(5X-15)=0

Simple and best practice solution for (9X+4)(5X-15)=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+4)(5X-15)=0 equation: 


Simplifying
(9X + 4)(5X + -15) = 0

Reorder the terms:
(4 + 9X)(5X + -15) = 0

Reorder the terms:
(4 + 9X)(-15 + 5X) = 0

Multiply (4 + 9X) * (-15 + 5X)
(4(-15 + 5X) + 9X * (-15 + 5X)) = 0
((-15 * 4 + 5X * 4) + 9X * (-15 + 5X)) = 0
((-60 + 20X) + 9X * (-15 + 5X)) = 0
(-60 + 20X + (-15 * 9X + 5X * 9X)) = 0
(-60 + 20X + (-135X + 45X2)) = 0

Combine like terms: 20X + -135X = -115X
(-60 + -115X + 45X2) = 0

Solving
-60 + -115X + 45X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -23X + 9X2) = 0

Factor a trinomial.
5((-4 + -9X)(3 + -1X)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4 + -9X)' equal to zero and attempt to solve:

Simplifying
-4 + -9X = 0

Solving
-4 + -9X = 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 + -9X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9X = 0 + 4
-9X = 0 + 4

Combine like terms: 0 + 4 = 4
-9X = 4

Divide each side by '-9'.
X = -0.4444444444

Simplifying
X = -0.4444444444

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 = {-0.4444444444, 3}

See similar equations:

| 14k=966 | | -8+2y+4=0 | | 3p(2p+7)= | | 2(4y+3)-3(5y+5)=-2 | | 30z=120 | | 3(x-1)+2(x+2)=10 | | -12x+24y=0 | | 5=5/2.2 | | 5b+7=92 | | C/3-8=(-5) | | 2p+2p+2=3x | | -4(p-2)+8=2(p-1)-7p+15 | | 4x^2-18x+3=0 | | 2/3y(y-3) | | 4u^2+u-60=0 | | 4x^2+16x-30=0 | | 3x+7-x=11-2x+8 | | lo(2x)=0 | | 6(2+t)=4(3-t) | | 6x-35=-4x+15 | | 12=2m-2 | | (2x-7)/18=x | | 1/2x=6/6 | | 4x-5=6x+10 | | t/2-10=-8 | | 6a-a^2=-16 | | log(3t)=2.3 | | 18x^2+18x=360x+72 | | -10p-7=-9p | | -10p-7=-9 | | 3r-2=1r+6 | | -8g-4=-7g |

Equations solver categories