(7-2x)(28-2x)=130

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Solution for (7-2x)(28-2x)=130 equation: 


Simplifying
(7 + -2x)(28 + -2x) = 130

Multiply (7 + -2x) * (28 + -2x)
(7(28 + -2x) + -2x * (28 + -2x)) = 130
((28 * 7 + -2x * 7) + -2x * (28 + -2x)) = 130
((196 + -14x) + -2x * (28 + -2x)) = 130
(196 + -14x + (28 * -2x + -2x * -2x)) = 130
(196 + -14x + (-56x + 4x2)) = 130

Combine like terms: -14x + -56x = -70x
(196 + -70x + 4x2) = 130

Solving
196 + -70x + 4x2 = 130

Solving for variable 'x'.

Reorder the terms:
196 + -130 + -70x + 4x2 = 130 + -130

Combine like terms: 196 + -130 = 66
66 + -70x + 4x2 = 130 + -130

Combine like terms: 130 + -130 = 0
66 + -70x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + -35x + 2x2) = 0

Factor a trinomial.
2((1 + -1x)(33 + -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 '(33 + -2x)' equal to zero and attempt to solve:

Simplifying
33 + -2x = 0

Solving
33 + -2x = 0

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

Add '-33' to each side of the equation.
33 + -33 + -2x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -2x = 0 + -33
-2x = 0 + -33

Combine like terms: 0 + -33 = -33
-2x = -33

Divide each side by '-2'.
x = 16.5

Simplifying
x = 16.5
Solution
x = {1, 16.5}

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