5x^2-28x+36=0

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Solution for 5x^2-28x+36=0 equation: 


Simplifying
5x2 + -28x + 36 = 0

Reorder the terms:
36 + -28x + 5x2 = 0

Solving
36 + -28x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(18 + -5x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(18 + -5x)' equal to zero and attempt to solve:

Simplifying
18 + -5x = 0

Solving
18 + -5x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -5x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = 0 + -18
-5x = 0 + -18

Combine like terms: 0 + -18 = -18
-5x = -18

Divide each side by '-5'.
x = 3.6

Simplifying
x = 3.6
Solution
x = {2, 3.6}

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