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

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


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

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

Multiply (9 + 4x) * (9 + -5x)
(9(9 + -5x) + 4x * (9 + -5x)) = 0
((9 * 9 + -5x * 9) + 4x * (9 + -5x)) = 0
((81 + -45x) + 4x * (9 + -5x)) = 0
(81 + -45x + (9 * 4x + -5x * 4x)) = 0
(81 + -45x + (36x + -20x2)) = 0

Combine like terms: -45x + 36x = -9x
(81 + -9x + -20x2) = 0

Solving
81 + -9x + -20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -5x)(9 + 4x) = 0


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 '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 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 + 4x = 0 + -9

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

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

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25
Solution
x = {1.8, -2.25}

See similar equations:

| 5+14c=229 | | 42x-2x+17=0 | | x^2-5+11=35 | | 63=4y-13 | | 3x7/36/6-2 | | e^3*x=15 | | 10x-10x+8=10 | | 30w+21=171 | | 5(w+2)-3w=2(w+5) | | f(x)=3x^2+7-4 | | 28(z-991)=84 | | 6(x-7)+4(x-2)-2x-6=11+x | | 2b-1=9 | | 2n+4=16-4n | | 3a/3=4 | | x+x+5=x+7+x+5 | | x+x+5=x+x+x+5 | | 10x+11y-58=0 | | 3x+27=-2x+2 | | 15+2y+29=0 | | 5x-9y-58=0 | | 5w+5=4w+9 | | 3-5(x+3)=3(x+2)+14 | | 4(5x-2y+3)= | | 1.8*x=810 | | 9x+81=99 | | 2(2y+3)-3(5y+4)=5 | | 3p+5q-2p+q= | | 15(y-4)-2(y-a)+5(y+6)=0 | | 5(x+3)+3(3x+6)=5 | | 3(2z-2)=5(2z+6) | | 2(6w+2)=8(w+6) |

Equations solver categories