(-50+2x)(6x+11)=

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Solution for (-50+2x)(6x+11)= equation: 


Simplifying
(-50 + 2x)(6x + 11) = 0

Reorder the terms:
(-50 + 2x)(11 + 6x) = 0

Multiply (-50 + 2x) * (11 + 6x)
(-50(11 + 6x) + 2x * (11 + 6x)) = 0
((11 * -50 + 6x * -50) + 2x * (11 + 6x)) = 0
((-550 + -300x) + 2x * (11 + 6x)) = 0
(-550 + -300x + (11 * 2x + 6x * 2x)) = 0
(-550 + -300x + (22x + 12x2)) = 0

Combine like terms: -300x + 22x = -278x
(-550 + -278x + 12x2) = 0

Solving
-550 + -278x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-275 + -139x + 6x2) = 0

Factor a trinomial.
2((-11 + -6x)(25 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-11 + -6x)' equal to zero and attempt to solve:

Simplifying
-11 + -6x = 0

Solving
-11 + -6x = 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 + -6x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -6x = 0 + 11
-6x = 0 + 11

Combine like terms: 0 + 11 = 11
-6x = 11

Divide each side by '-6'.
x = -1.833333333

Simplifying
x = -1.833333333

Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25
Solution
x = {-1.833333333, 25}

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