3500=(1200-100x)x

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Solution for 3500=(1200-100x)x equation: 


Simplifying
3500 = (1200 + -100x) * x

Reorder the terms for easier multiplication:
3500 = x(1200 + -100x)
3500 = (1200 * x + -100x * x)
3500 = (1200x + -100x2)

Solving
3500 = 1200x + -100x2

Solving for variable 'x'.

Reorder the terms:
3500 + -1200x + 100x2 = 1200x + -1200x + -100x2 + 100x2

Combine like terms: 1200x + -1200x = 0
3500 + -1200x + 100x2 = 0 + -100x2 + 100x2
3500 + -1200x + 100x2 = -100x2 + 100x2

Combine like terms: -100x2 + 100x2 = 0
3500 + -1200x + 100x2 = 0

Factor out the Greatest Common Factor (GCF), '100'.
100(35 + -12x + x2) = 0

Factor a trinomial.
100((5 + -1x)(7 + -1x)) = 0

Ignore the factor 100.

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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {5, 7}

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