(15-2x)(20-2x)=176

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Solution for (15-2x)(20-2x)=176 equation: 


Simplifying
(15 + -2x)(20 + -2x) = 176

Multiply (15 + -2x) * (20 + -2x)
(15(20 + -2x) + -2x * (20 + -2x)) = 176
((20 * 15 + -2x * 15) + -2x * (20 + -2x)) = 176
((300 + -30x) + -2x * (20 + -2x)) = 176
(300 + -30x + (20 * -2x + -2x * -2x)) = 176
(300 + -30x + (-40x + 4x2)) = 176

Combine like terms: -30x + -40x = -70x
(300 + -70x + 4x2) = 176

Solving
300 + -70x + 4x2 = 176

Solving for variable 'x'.

Reorder the terms:
300 + -176 + -70x + 4x2 = 176 + -176

Combine like terms: 300 + -176 = 124
124 + -70x + 4x2 = 176 + -176

Combine like terms: 176 + -176 = 0
124 + -70x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(62 + -35x + 2x2) = 0

Factor a trinomial.
2((2 + -1x)(31 + -2x)) = 0

Ignore the factor 2.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(31 + -2x)' equal to zero and attempt to solve:

Simplifying
31 + -2x = 0

Solving
31 + -2x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -2x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -2x = 0 + -31
-2x = 0 + -31

Combine like terms: 0 + -31 = -31
-2x = -31

Divide each side by '-2'.
x = 15.5

Simplifying
x = 15.5
Solution
x = {2, 15.5}

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