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

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


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

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

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

Multiply (-4 + x) * (9 + x)
0 = (-4(9 + x) + x(9 + x))
0 = ((9 * -4 + x * -4) + x(9 + x))
0 = ((-36 + -4x) + x(9 + x))
0 = (-36 + -4x + (9 * x + x * x))
0 = (-36 + -4x + (9x + x2))

Combine like terms: -4x + 9x = 5x
0 = (-36 + 5x + x2)

Solving
0 = -36 + 5x + x2

Solving for variable 'x'.

Combine like terms: 0 + 36 = 36
36 + -5x + -1x2 = -36 + 5x + x2 + 36 + -5x + -1x2

Reorder the terms:
36 + -5x + -1x2 = -36 + 36 + 5x + -5x + x2 + -1x2

Combine like terms: -36 + 36 = 0
36 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
36 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
36 + -5x + -1x2 = 0 + x2 + -1x2
36 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -5x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(9 + x) = 0


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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

Simplifying
9 + x = 0

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

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

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

Simplifying
x = -9
Solution
x = {4, -9}

See similar equations:

| 40-y/3=4+y | | 9(x+1)=5-2(9x-6) | | 3x^2-18xy-7x+42y= | | x*x-((x+1)*(x+1))=31 | | 11=4u+7 | | 5x-5=3(2x+1) | | (2a-6)+(3a+8)= | | -7+log^3(x+3)=-4 | | 3-3=1 | | 4+35x=15x+28 | | 14=x-3y | | 6+x=3.2 | | 2x+7=-7-2x | | 32-2b=4 | | 3/y+3-4/y-3=5y/y*y-9 | | -1/2*13/2=x | | 2a-6+3a+8= | | 4=8-2g | | -8y+35=0 | | 13+0.25a=-3 | | X+76(0.01)=x(0.05) | | 3(2x+1)-4(3x)+1=0 | | 18=12x^2-6x | | 2=3u-4 | | 3.5x+4=2.5x | | 2w-9=6w+23 | | 3h^2+7hk+2k^2=0 | | -3+0.5c=12 | | 5(2y+1)/3=4y+7 | | X+(x+2)+2(x+2)=110 | | y-5=4+3 | | -4+2x=-8+18x |

Equations solver categories