8x^2-9x+x^2-5x=

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Solution for 8x^2-9x+x^2-5x= equation: 


Simplifying
8x2 + -9x + x2 + -5x = 0

Reorder the terms:
-9x + -5x + 8x2 + x2 = 0

Combine like terms: -9x + -5x = -14x
-14x + 8x2 + x2 = 0

Combine like terms: 8x2 + x2 = 9x2
-14x + 9x2 = 0

Solving
-14x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + 9x) = 0


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 '(-14 + 9x)' equal to zero and attempt to solve:

Simplifying
-14 + 9x = 0

Solving
-14 + 9x = 0

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

Add '14' to each side of the equation.
-14 + 14 + 9x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 9x = 0 + 14
9x = 0 + 14

Combine like terms: 0 + 14 = 14
9x = 14

Divide each side by '9'.
x = 1.555555556

Simplifying
x = 1.555555556
Solution
x = {0, 1.555555556}

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