(25-2x)(30-2x)=644

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Solution for (25-2x)(30-2x)=644 equation: 


Simplifying
(25 + -2x)(30 + -2x) = 644

Multiply (25 + -2x) * (30 + -2x)
(25(30 + -2x) + -2x * (30 + -2x)) = 644
((30 * 25 + -2x * 25) + -2x * (30 + -2x)) = 644
((750 + -50x) + -2x * (30 + -2x)) = 644
(750 + -50x + (30 * -2x + -2x * -2x)) = 644
(750 + -50x + (-60x + 4x2)) = 644

Combine like terms: -50x + -60x = -110x
(750 + -110x + 4x2) = 644

Solving
750 + -110x + 4x2 = 644

Solving for variable 'x'.

Reorder the terms:
750 + -644 + -110x + 4x2 = 644 + -644

Combine like terms: 750 + -644 = 106
106 + -110x + 4x2 = 644 + -644

Combine like terms: 644 + -644 = 0
106 + -110x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(53 + -55x + 2x2) = 0

Factor a trinomial.
2((1 + -1x)(53 + -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 '(53 + -2x)' equal to zero and attempt to solve:

Simplifying
53 + -2x = 0

Solving
53 + -2x = 0

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

Add '-53' to each side of the equation.
53 + -53 + -2x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -2x = 0 + -53
-2x = 0 + -53

Combine like terms: 0 + -53 = -53
-2x = -53

Divide each side by '-2'.
x = 26.5

Simplifying
x = 26.5
Solution
x = {1, 26.5}

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