(2X+9)(1X-8)=0

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Solution for (2X+9)(1X-8)=0 equation: 


Simplifying
(2X + 9)(1X + -8) = 0

Reorder the terms:
(9 + 2X)(1X + -8) = 0

Reorder the terms:
(9 + 2X)(-8 + 1X) = 0

Multiply (9 + 2X) * (-8 + 1X)
(9(-8 + 1X) + 2X * (-8 + 1X)) = 0
((-8 * 9 + 1X * 9) + 2X * (-8 + 1X)) = 0
((-72 + 9X) + 2X * (-8 + 1X)) = 0
(-72 + 9X + (-8 * 2X + 1X * 2X)) = 0
(-72 + 9X + (-16X + 2X2)) = 0

Combine like terms: 9X + -16X = -7X
(-72 + -7X + 2X2) = 0

Solving
-72 + -7X + 2X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-9 + -2X)(8 + -1X) = 0


Subproblem 1
Set the factor '(-9 + -2X)' equal to zero and attempt to solve:

Simplifying
-9 + -2X = 0

Solving
-9 + -2X = 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 + -2X = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2X = 0 + 9
-2X = 0 + 9

Combine like terms: 0 + 9 = 9
-2X = 9

Divide each side by '-2'.
X = -4.5

Simplifying
X = -4.5

Subproblem 2
Set the factor '(8 + -1X)' equal to zero and attempt to solve:

Simplifying
8 + -1X = 0

Solving
8 + -1X = 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 + -1X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1X = 0 + -8
-1X = 0 + -8

Combine like terms: 0 + -8 = -8
-1X = -8

Divide each side by '-1'.
X = 8

Simplifying
X = 8
Solution
X = {-4.5, 8}

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