(47-2x)(23-2x)=1081

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Solution for (47-2x)(23-2x)=1081 equation: 


Simplifying
(47 + -2x)(23 + -2x) = 1081

Multiply (47 + -2x) * (23 + -2x)
(47(23 + -2x) + -2x * (23 + -2x)) = 1081
((23 * 47 + -2x * 47) + -2x * (23 + -2x)) = 1081
((1081 + -94x) + -2x * (23 + -2x)) = 1081
(1081 + -94x + (23 * -2x + -2x * -2x)) = 1081
(1081 + -94x + (-46x + 4x2)) = 1081

Combine like terms: -94x + -46x = -140x
(1081 + -140x + 4x2) = 1081

Add '-1081' to each side of the equation.
1081 + -140x + -1081 + 4x2 = 1081 + -1081

Reorder the terms:
1081 + -1081 + -140x + 4x2 = 1081 + -1081

Combine like terms: 1081 + -1081 = 0
0 + -140x + 4x2 = 1081 + -1081
-140x + 4x2 = 1081 + -1081

Combine like terms: 1081 + -1081 = 0
-140x + 4x2 = 0

Solving
-140x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-35 + 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 '(-35 + x)' equal to zero and attempt to solve:

Simplifying
-35 + x = 0

Solving
-35 + x = 0

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

Add '35' to each side of the equation.
-35 + 35 + x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + x = 0 + 35
x = 0 + 35

Combine like terms: 0 + 35 = 35
x = 35

Simplifying
x = 35
Solution
x = {0, 35}

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