63=(10-2x)(8-2x)

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Solution for 63=(10-2x)(8-2x) equation: 


Simplifying
63 = (10 + -2x)(8 + -2x)

Multiply (10 + -2x) * (8 + -2x)
63 = (10(8 + -2x) + -2x * (8 + -2x))
63 = ((8 * 10 + -2x * 10) + -2x * (8 + -2x))
63 = ((80 + -20x) + -2x * (8 + -2x))
63 = (80 + -20x + (8 * -2x + -2x * -2x))
63 = (80 + -20x + (-16x + 4x2))

Combine like terms: -20x + -16x = -36x
63 = (80 + -36x + 4x2)

Solving
63 = 80 + -36x + 4x2

Solving for variable 'x'.

Combine like terms: 63 + -80 = -17
-17 + 36x + -4x2 = 80 + -36x + 4x2 + -80 + 36x + -4x2

Reorder the terms:
-17 + 36x + -4x2 = 80 + -80 + -36x + 36x + 4x2 + -4x2

Combine like terms: 80 + -80 = 0
-17 + 36x + -4x2 = 0 + -36x + 36x + 4x2 + -4x2
-17 + 36x + -4x2 = -36x + 36x + 4x2 + -4x2

Combine like terms: -36x + 36x = 0
-17 + 36x + -4x2 = 0 + 4x2 + -4x2
-17 + 36x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-17 + 36x + -4x2 = 0

Factor a trinomial.
(-17 + 2x)(1 + -2x) = 0


Subproblem 1
Set the factor '(-17 + 2x)' equal to zero and attempt to solve:

Simplifying
-17 + 2x = 0

Solving
-17 + 2x = 0

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

Add '17' to each side of the equation.
-17 + 17 + 2x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = 0 + 17
2x = 0 + 17

Combine like terms: 0 + 17 = 17
2x = 17

Divide each side by '2'.
x = 8.5

Simplifying
x = 8.5

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {8.5, 0.5}

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