7x^2-96x-256=0

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Solution for 7x^2-96x-256=0 equation: 


Simplifying
7x2 + -96x + -256 = 0

Reorder the terms:
-256 + -96x + 7x2 = 0

Solving
-256 + -96x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-16 + -7x)(16 + -1x) = 0


Subproblem 1
Set the factor '(-16 + -7x)' equal to zero and attempt to solve:

Simplifying
-16 + -7x = 0

Solving
-16 + -7x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -7x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -7x = 0 + 16
-7x = 0 + 16

Combine like terms: 0 + 16 = 16
-7x = 16

Divide each side by '-7'.
x = -2.285714286

Simplifying
x = -2.285714286

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-2.285714286, 16}

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