5x^2-4x-288=0

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Solution for 5x^2-4x-288=0 equation: 


Simplifying
5x2 + -4x + -288 = 0

Reorder the terms:
-288 + -4x + 5x2 = 0

Solving
-288 + -4x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-36 + -5x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-36 + -5x)' equal to zero and attempt to solve:

Simplifying
-36 + -5x = 0

Solving
-36 + -5x = 0

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

Add '36' to each side of the equation.
-36 + 36 + -5x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -5x = 0 + 36
-5x = 0 + 36

Combine like terms: 0 + 36 = 36
-5x = 36

Divide each side by '-5'.
x = -7.2

Simplifying
x = -7.2

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 = {-7.2, 8}

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