5x^2-3x-68=0

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Solution for 5x^2-3x-68=0 equation: 


Simplifying
5x2 + -3x + -68 = 0

Reorder the terms:
-68 + -3x + 5x2 = 0

Solving
-68 + -3x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-17 + -5x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-17 + -5x)' equal to zero and attempt to solve:

Simplifying
-17 + -5x = 0

Solving
-17 + -5x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -5x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -5x = 0 + 17
-5x = 0 + 17

Combine like terms: 0 + 17 = 17
-5x = 17

Divide each side by '-5'.
x = -3.4

Simplifying
x = -3.4

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-3.4, 4}

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