(10x-8)(x+9)=0

Simple and best practice solution for (10x-8)(x+9)=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 (10x-8)(x+9)=0 equation: 


Simplifying
(10x + -8)(x + 9) = 0

Reorder the terms:
(-8 + 10x)(x + 9) = 0

Reorder the terms:
(-8 + 10x)(9 + x) = 0

Multiply (-8 + 10x) * (9 + x)
(-8(9 + x) + 10x * (9 + x)) = 0
((9 * -8 + x * -8) + 10x * (9 + x)) = 0
((-72 + -8x) + 10x * (9 + x)) = 0
(-72 + -8x + (9 * 10x + x * 10x)) = 0
(-72 + -8x + (90x + 10x2)) = 0

Combine like terms: -8x + 90x = 82x
(-72 + 82x + 10x2) = 0

Solving
-72 + 82x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + 41x + 5x2) = 0

Factor a trinomial.
2((-9 + -1x)(4 + -5x)) = 0

Ignore the factor 2.

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

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 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 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-9, 0.8}

See similar equations:

| x=2150-.1x | | cos(4x)=cos(5x) | | 5sinx-2cos^2x+4=0 | | 3f+3+2f=2f+4 | | 2x^2-21x=-55 | | y=x^4-8*x^3+18*x^2+15 | | x-153=0 | | 12+(x^2-2)=22 | | 12+(x^2-2)=66 | | 2n^2+8n-336=0 | | 12345x=54321 | | (x+2y)dx+(y)dy=0 | | (3x+1)*(x+3)=0 | | (3x+4)(-2x-1)=0 | | 2k^2-3k+1=1 | | x(tan^2y)*dy+x*dy=(2x^2+tany)dx | | x(tan^2)y*dy+x*dy=(2x^2+tany)dx | | X+(x+3)=4 | | x^2+y^2-2x=0 | | x^2+9y^2=0 | | 3c+2b=71 | | x^3+6x^2+9=0 | | 7n-2n=8n-(4n) | | Y=4-lx-4l | | 5+x+12= | | 25x+88x+6a=15 | | 1.5-12-50=0 | | 4(-3)+5(-2)= | | -2-(-3+7)-6= | | -2+7+(-5)= | | 7y+3=3x-5 | | 3*5+5(2+3)= |

Equations solver categories