(16-2x)(11-2x)=126

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Solution for (16-2x)(11-2x)=126 equation: 


Simplifying
(16 + -2x)(11 + -2x) = 126

Multiply (16 + -2x) * (11 + -2x)
(16(11 + -2x) + -2x * (11 + -2x)) = 126
((11 * 16 + -2x * 16) + -2x * (11 + -2x)) = 126
((176 + -32x) + -2x * (11 + -2x)) = 126
(176 + -32x + (11 * -2x + -2x * -2x)) = 126
(176 + -32x + (-22x + 4x2)) = 126

Combine like terms: -32x + -22x = -54x
(176 + -54x + 4x2) = 126

Solving
176 + -54x + 4x2 = 126

Solving for variable 'x'.

Reorder the terms:
176 + -126 + -54x + 4x2 = 126 + -126

Combine like terms: 176 + -126 = 50
50 + -54x + 4x2 = 126 + -126

Combine like terms: 126 + -126 = 0
50 + -54x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -27x + 2x2) = 0

Factor a trinomial.
2((1 + -1x)(25 + -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 '(25 + -2x)' equal to zero and attempt to solve:

Simplifying
25 + -2x = 0

Solving
25 + -2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = 0 + -25
-2x = 0 + -25

Combine like terms: 0 + -25 = -25
-2x = -25

Divide each side by '-2'.
x = 12.5

Simplifying
x = 12.5
Solution
x = {1, 12.5}

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