5x^2+6x-287=0

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Solution for 5x^2+6x-287=0 equation: 


Simplifying
5x2 + 6x + -287 = 0

Reorder the terms:
-287 + 6x + 5x2 = 0

Solving
-287 + 6x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-41 + -5x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-41 + -5x)' equal to zero and attempt to solve:

Simplifying
-41 + -5x = 0

Solving
-41 + -5x = 0

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

Add '41' to each side of the equation.
-41 + 41 + -5x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -5x = 0 + 41
-5x = 0 + 41

Combine like terms: 0 + 41 = 41
-5x = 41

Divide each side by '-5'.
x = -8.2

Simplifying
x = -8.2

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 = {-8.2, 7}

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