2720=x(2x+4)*17

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Solution for 2720=x(2x+4)*17 equation: 


Simplifying
2720 = x(2x + 4) * 17

Reorder the terms:
2720 = x(4 + 2x) * 17

Reorder the terms for easier multiplication:
2720 = 17x(4 + 2x)
2720 = (4 * 17x + 2x * 17x)
2720 = (68x + 34x2)

Solving
2720 = 68x + 34x2

Solving for variable 'x'.

Reorder the terms:
2720 + -68x + -34x2 = 68x + -68x + 34x2 + -34x2

Combine like terms: 68x + -68x = 0
2720 + -68x + -34x2 = 0 + 34x2 + -34x2
2720 + -68x + -34x2 = 34x2 + -34x2

Combine like terms: 34x2 + -34x2 = 0
2720 + -68x + -34x2 = 0

Factor out the Greatest Common Factor (GCF), '34'.
34(80 + -2x + -1x2) = 0

Factor a trinomial.
34((8 + -1x)(10 + x)) = 0

Ignore the factor 34.

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

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {8, -10}

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