(13-2x)(18-2x)=176

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Solution for (13-2x)(18-2x)=176 equation: 


Simplifying
(13 + -2x)(18 + -2x) = 176

Multiply (13 + -2x) * (18 + -2x)
(13(18 + -2x) + -2x * (18 + -2x)) = 176
((18 * 13 + -2x * 13) + -2x * (18 + -2x)) = 176
((234 + -26x) + -2x * (18 + -2x)) = 176
(234 + -26x + (18 * -2x + -2x * -2x)) = 176
(234 + -26x + (-36x + 4x2)) = 176

Combine like terms: -26x + -36x = -62x
(234 + -62x + 4x2) = 176

Solving
234 + -62x + 4x2 = 176

Solving for variable 'x'.

Reorder the terms:
234 + -176 + -62x + 4x2 = 176 + -176

Combine like terms: 234 + -176 = 58
58 + -62x + 4x2 = 176 + -176

Combine like terms: 176 + -176 = 0
58 + -62x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(29 + -31x + 2x2) = 0

Factor a trinomial.
2((1 + -1x)(29 + -2x)) = 0

Ignore the factor 2.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(29 + -2x)' equal to zero and attempt to solve:

Simplifying
29 + -2x = 0

Solving
29 + -2x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -2x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -2x = 0 + -29
-2x = 0 + -29

Combine like terms: 0 + -29 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5
Solution
x = {1, 14.5}

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