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

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Solution for (9x+8)(x-10)=0 equation: 


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

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

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

Multiply (8 + 9x) * (-10 + x)
(8(-10 + x) + 9x * (-10 + x)) = 0
((-10 * 8 + x * 8) + 9x * (-10 + x)) = 0
((-80 + 8x) + 9x * (-10 + x)) = 0
(-80 + 8x + (-10 * 9x + x * 9x)) = 0
(-80 + 8x + (-90x + 9x2)) = 0

Combine like terms: 8x + -90x = -82x
(-80 + -82x + 9x2) = 0

Solving
-80 + -82x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -9x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -9x)' equal to zero and attempt to solve:

Simplifying
-8 + -9x = 0

Solving
-8 + -9x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -9x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -9x = 0 + 8
-9x = 0 + 8

Combine like terms: 0 + 8 = 8
-9x = 8

Divide each side by '-9'.
x = -0.8888888889

Simplifying
x = -0.8888888889

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-0.8888888889, 10}

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