(9x-5)(5x+2)=0

Simple and best practice solution for (9x-5)(5x+2)=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-5)(5x+2)=0 equation: 


Simplifying
(9x + -5)(5x + 2) = 0

Reorder the terms:
(-5 + 9x)(5x + 2) = 0

Reorder the terms:
(-5 + 9x)(2 + 5x) = 0

Multiply (-5 + 9x) * (2 + 5x)
(-5(2 + 5x) + 9x * (2 + 5x)) = 0
((2 * -5 + 5x * -5) + 9x * (2 + 5x)) = 0
((-10 + -25x) + 9x * (2 + 5x)) = 0
(-10 + -25x + (2 * 9x + 5x * 9x)) = 0
(-10 + -25x + (18x + 45x2)) = 0

Combine like terms: -25x + 18x = -7x
(-10 + -7x + 45x2) = 0

Solving
-10 + -7x + 45x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve:

Simplifying
5 + -9x = 0

Solving
5 + -9x = 0

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

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

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

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

Divide each side by '-9'.
x = 0.5555555556

Simplifying
x = 0.5555555556
Solution
x = {-0.4, 0.5555555556}

See similar equations:

| 20/3•6/5 | | -11-y=-3 | | 3x+10y=-47 | | 2.7(x+4)-5=-2.3 | | 3x/4=11 | | 4x+12+5=25 | | 2+4n=5n+3-n | | 3-2m/5=3 | | (x+6)(x+8)=160 | | 7y-11=-32 | | 23q=5 | | (-9)-(13)= | | 3(x+5)+7x=65 | | -5y+6=-4 | | (x-2)(6x-5)=0 | | 50+60x=394 | | x/2=5-2x | | -8+z(1+3r)=4+2r | | 18/7x=6/5 | | 2+(12+r)=(2+12)r | | -x+4y=88 | | 1/5x/5=2/5 | | 4c+10=38 | | 4=3-2(3n-2) | | 1/5x/5=2/ | | 3-2x-4=17-4x | | 3-4x=18x | | y/2=-60 | | 5-1/x=7 | | 168/201 | | -2y+8=30 | | 2x^2-x^2-8x+4=0 |

Equations solver categories