10X(9X+4)-5X^2=

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Solution for 10X(9X+4)-5X^2= equation: 


Simplifying
10X(9X + 4) + -5X2 = 0

Reorder the terms:
10X(4 + 9X) + -5X2 = 0
(4 * 10X + 9X * 10X) + -5X2 = 0
(40X + 90X2) + -5X2 = 0

Combine like terms: 90X2 + -5X2 = 85X2
40X + 85X2 = 0

Solving
40X + 85X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '5X'.
5X(8 + 17X) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(8 + 17X)' equal to zero and attempt to solve:

Simplifying
8 + 17X = 0

Solving
8 + 17X = 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 + 17X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 17X = 0 + -8
17X = 0 + -8

Combine like terms: 0 + -8 = -8
17X = -8

Divide each side by '17'.
X = -0.4705882353

Simplifying
X = -0.4705882353
Solution
X = {0, -0.4705882353}

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