5x^2-6x-203=0

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Solution for 5x^2-6x-203=0 equation: 


Simplifying
5x2 + -6x + -203 = 0

Reorder the terms:
-203 + -6x + 5x2 = 0

Solving
-203 + -6x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-29 + -5x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-29 + -5x)' equal to zero and attempt to solve:

Simplifying
-29 + -5x = 0

Solving
-29 + -5x = 0

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

Add '29' to each side of the equation.
-29 + 29 + -5x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -5x = 0 + 29
-5x = 0 + 29

Combine like terms: 0 + 29 = 29
-5x = 29

Divide each side by '-5'.
x = -5.8

Simplifying
x = -5.8

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-5.8, 7}

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