(x-9)(x+5)=-24

Simple and best practice solution for (x-9)(x+5)=-24 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 (x-9)(x+5)=-24 equation: 


Simplifying
(x + -9)(x + 5) = -24

Reorder the terms:
(-9 + x)(x + 5) = -24

Reorder the terms:
(-9 + x)(5 + x) = -24

Multiply (-9 + x) * (5 + x)
(-9(5 + x) + x(5 + x)) = -24
((5 * -9 + x * -9) + x(5 + x)) = -24
((-45 + -9x) + x(5 + x)) = -24
(-45 + -9x + (5 * x + x * x)) = -24
(-45 + -9x + (5x + x2)) = -24

Combine like terms: -9x + 5x = -4x
(-45 + -4x + x2) = -24

Solving
-45 + -4x + x2 = -24

Solving for variable 'x'.

Reorder the terms:
-45 + 24 + -4x + x2 = -24 + 24

Combine like terms: -45 + 24 = -21
-21 + -4x + x2 = -24 + 24

Combine like terms: -24 + 24 = 0
-21 + -4x + x2 = 0

Factor a trinomial.
(-3 + -1x)(7 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-3, 7}

See similar equations:

| -4z(3z+5)+9(z+2)= | | 10x/2+4x=108 | | a-1/4-5(a-4)/10=5a+15/5 | | -4z*3z=0 | | -26+9=-1/2s-3/4s-7/8s | | 6y-2-2y+1=0 | | -1.48(-7.43+x)=5.31 | | 1/5x-1/6(x-9)=6x | | -5(6-x)+6=4-7(x+2) | | 45=4x+x | | -37z-23=z-(-20) | | 2/x-5=6x | | 0.2x=7.2 | | 2p^2=-11p-12 | | -4p-10p+8p=2-6 | | 30-4x=x-12 | | 9x^2-6x^4=0 | | 3(2x-9)=7 | | x^5+x-1=0 | | 2x^4-12x^3-21x^2+60x+55=0 | | 4x+4/x-1=0 | | 3x(4x-4)=13x | | -7/10y=35/50 | | .25x+.15(140-x)=.18(140) | | -2/7z=10/7 | | .25x-.15(140-x)=.18(140) | | 6x+5=x^2 | | (32w)^3/5(2w^1/5)^2 | | (-12+a)-(-30a-1)=a | | 3/10z=15 | | 3x^2=168+3x | | -p/2=7/5 |

Equations solver categories