10x^2-2x+9=9

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Solution for 10x^2-2x+9=9 equation: 


Simplifying
10x2 + -2x + 9 = 9

Reorder the terms:
9 + -2x + 10x2 = 9

Add '-9' to each side of the equation.
9 + -2x + -9 + 10x2 = 9 + -9

Reorder the terms:
9 + -9 + -2x + 10x2 = 9 + -9

Combine like terms: 9 + -9 = 0
0 + -2x + 10x2 = 9 + -9
-2x + 10x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-2x + 10x2 = 0

Solving
-2x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + 5x) = 0

Ignore the factor 2.

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 '(-1 + 5x)' equal to zero and attempt to solve:

Simplifying
-1 + 5x = 0

Solving
-1 + 5x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 0 + 1
5x = 0 + 1

Combine like terms: 0 + 1 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {0, 0.2}

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