5x^2-2x-304=0

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Solution for 5x^2-2x-304=0 equation: 


Simplifying
5x2 + -2x + -304 = 0

Reorder the terms:
-304 + -2x + 5x2 = 0

Solving
-304 + -2x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-38 + -5x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-38 + -5x)' equal to zero and attempt to solve:

Simplifying
-38 + -5x = 0

Solving
-38 + -5x = 0

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

Add '38' to each side of the equation.
-38 + 38 + -5x = 0 + 38

Combine like terms: -38 + 38 = 0
0 + -5x = 0 + 38
-5x = 0 + 38

Combine like terms: 0 + 38 = 38
-5x = 38

Divide each side by '-5'.
x = -7.6

Simplifying
x = -7.6

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-7.6, 8}

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