(46+2x)(65+2x)=4740

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Solution for (46+2x)(65+2x)=4740 equation: 


Simplifying
(46 + 2x)(65 + 2x) = 4740

Multiply (46 + 2x) * (65 + 2x)
(46(65 + 2x) + 2x * (65 + 2x)) = 4740
((65 * 46 + 2x * 46) + 2x * (65 + 2x)) = 4740
((2990 + 92x) + 2x * (65 + 2x)) = 4740
(2990 + 92x + (65 * 2x + 2x * 2x)) = 4740
(2990 + 92x + (130x + 4x2)) = 4740

Combine like terms: 92x + 130x = 222x
(2990 + 222x + 4x2) = 4740

Solving
2990 + 222x + 4x2 = 4740

Solving for variable 'x'.

Reorder the terms:
2990 + -4740 + 222x + 4x2 = 4740 + -4740

Combine like terms: 2990 + -4740 = -1750
-1750 + 222x + 4x2 = 4740 + -4740

Combine like terms: 4740 + -4740 = 0
-1750 + 222x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-875 + 111x + 2x2) = 0

Factor a trinomial.
2((-125 + -2x)(7 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-125 + -2x)' equal to zero and attempt to solve:

Simplifying
-125 + -2x = 0

Solving
-125 + -2x = 0

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

Add '125' to each side of the equation.
-125 + 125 + -2x = 0 + 125

Combine like terms: -125 + 125 = 0
0 + -2x = 0 + 125
-2x = 0 + 125

Combine like terms: 0 + 125 = 125
-2x = 125

Divide each side by '-2'.
x = -62.5

Simplifying
x = -62.5

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 = {-62.5, 7}

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