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

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


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

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

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

Solving
80 + -36x + 4x2 = 63

Solving for variable 'x'.

Reorder the terms:
80 + -63 + -36x + 4x2 = 63 + -63

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

Combine like terms: 63 + -63 = 0
17 + -36x + 4x2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {0.5, 8.5}

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