5x^2-19x+12=12

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Solution for 5x^2-19x+12=12 equation: 


Simplifying
5x2 + -19x + 12 = 12

Reorder the terms:
12 + -19x + 5x2 = 12

Add '-12' to each side of the equation.
12 + -19x + -12 + 5x2 = 12 + -12

Reorder the terms:
12 + -12 + -19x + 5x2 = 12 + -12

Combine like terms: 12 + -12 = 0
0 + -19x + 5x2 = 12 + -12
-19x + 5x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-19x + 5x2 = 0

Solving
-19x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19 + 5x) = 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 '(-19 + 5x)' equal to zero and attempt to solve:

Simplifying
-19 + 5x = 0

Solving
-19 + 5x = 0

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

Add '19' to each side of the equation.
-19 + 19 + 5x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 5x = 0 + 19
5x = 0 + 19

Combine like terms: 0 + 19 = 19
5x = 19

Divide each side by '5'.
x = 3.8

Simplifying
x = 3.8
Solution
x = {0, 3.8}

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