=55x^2-78x-16

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Solution for =55x^2-78x-16 equation: 


Simplifying
0 = 55x2 + -78x + -16

Reorder the terms:
0 = -16 + -78x + 55x2

Solving
0 = -16 + -78x + 55x2

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + 78x + -55x2 = -16 + -78x + 55x2 + 16 + 78x + -55x2

Reorder the terms:
16 + 78x + -55x2 = -16 + 16 + -78x + 78x + 55x2 + -55x2

Combine like terms: -16 + 16 = 0
16 + 78x + -55x2 = 0 + -78x + 78x + 55x2 + -55x2
16 + 78x + -55x2 = -78x + 78x + 55x2 + -55x2

Combine like terms: -78x + 78x = 0
16 + 78x + -55x2 = 0 + 55x2 + -55x2
16 + 78x + -55x2 = 55x2 + -55x2

Combine like terms: 55x2 + -55x2 = 0
16 + 78x + -55x2 = 0

Factor a trinomial.
(8 + -5x)(2 + 11x) = 0


Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 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 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

Subproblem 2
Set the factor '(2 + 11x)' equal to zero and attempt to solve:

Simplifying
2 + 11x = 0

Solving
2 + 11x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 11x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 11x = 0 + -2
11x = 0 + -2

Combine like terms: 0 + -2 = -2
11x = -2

Divide each side by '11'.
x = -0.1818181818

Simplifying
x = -0.1818181818
Solution
x = {1.6, -0.1818181818}

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