(50+2x)(70+2x)=3500

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Solution for (50+2x)(70+2x)=3500 equation: 


Simplifying
(50 + 2x)(70 + 2x) = 3500

Multiply (50 + 2x) * (70 + 2x)
(50(70 + 2x) + 2x * (70 + 2x)) = 3500
((70 * 50 + 2x * 50) + 2x * (70 + 2x)) = 3500
((3500 + 100x) + 2x * (70 + 2x)) = 3500
(3500 + 100x + (70 * 2x + 2x * 2x)) = 3500
(3500 + 100x + (140x + 4x2)) = 3500

Combine like terms: 100x + 140x = 240x
(3500 + 240x + 4x2) = 3500

Add '-3500' to each side of the equation.
3500 + 240x + -3500 + 4x2 = 3500 + -3500

Reorder the terms:
3500 + -3500 + 240x + 4x2 = 3500 + -3500

Combine like terms: 3500 + -3500 = 0
0 + 240x + 4x2 = 3500 + -3500
240x + 4x2 = 3500 + -3500

Combine like terms: 3500 + -3500 = 0
240x + 4x2 = 0

Solving
240x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(60 + x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(60 + x)' equal to zero and attempt to solve:

Simplifying
60 + x = 0

Solving
60 + x = 0

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

Add '-60' to each side of the equation.
60 + -60 + x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + x = 0 + -60
x = 0 + -60

Combine like terms: 0 + -60 = -60
x = -60

Simplifying
x = -60
Solution
x = {0, -60}

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