10x^2-3x-55=0

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Solution for 10x^2-3x-55=0 equation: 


Simplifying
10x2 + -3x + -55 = 0

Reorder the terms:
-55 + -3x + 10x2 = 0

Solving
-55 + -3x + 10x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-11 + -5x)' equal to zero and attempt to solve:

Simplifying
-11 + -5x = 0

Solving
-11 + -5x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -5x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -5x = 0 + 11
-5x = 0 + 11

Combine like terms: 0 + 11 = 11
-5x = 11

Divide each side by '-5'.
x = -2.2

Simplifying
x = -2.2

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-2.2, 2.5}

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