[40000+2500x][28-x]+[40000+2500x][2.00]=

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Solution for [40000+2500x][28-x]+[40000+2500x][2.00]= equation: 


Simplifying
[40000 + 2500x][28 + -1x] + [40000 + 2500x][2.00] = 0

Multiply [40000 + 2500x] * [28 + -1x]
[40000[28 + -1x] + 2500x * [28 + -1x]] + [40000 + 2500x][2.00] = 0
[[28 * 40000 + -1x * 40000] + 2500x * [28 + -1x]] + [40000 + 2500x][2.00] = 0
[[1120000 + -40000x] + 2500x * [28 + -1x]] + [40000 + 2500x][2.00] = 0
[1120000 + -40000x + [28 * 2500x + -1x * 2500x]] + [40000 + 2500x][2.00] = 0
[1120000 + -40000x + [70000x + -2500x2]] + [40000 + 2500x][2.00] = 0

Combine like terms: -40000x + 70000x = 30000x
[1120000 + 30000x + -2500x2] + [40000 + 2500x][2.00] = 0

Reorder the terms for easier multiplication:
1120000 + 30000x + -2500x2 + 2.00[40000 + 2500x] = 0
1120000 + 30000x + -2500x2 + [40000 * 2.00 + 2500x * 2.00] = 0
1120000 + 30000x + -2500x2 + [80000 + 5000x] = 0

Reorder the terms:
1120000 + 80000 + 30000x + 5000x + -2500x2 = 0

Combine like terms: 1120000 + 80000 = 1200000
1200000 + 30000x + 5000x + -2500x2 = 0

Combine like terms: 30000x + 5000x = 35000x
1200000 + 35000x + -2500x2 = 0

Solving
1200000 + 35000x + -2500x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2500'.
2500(480 + 14x + -1x2) = 0

Factor a trinomial.
2500((30 + -1x)(16 + x)) = 0

Ignore the factor 2500.

Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
Solution
x = {30, -16}

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