(54-2x)(35-2x)=

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Solution for (54-2x)(35-2x)= equation: 


Simplifying
(54 + -2x)(35 + -2x) = 0

Multiply (54 + -2x) * (35 + -2x)
(54(35 + -2x) + -2x * (35 + -2x)) = 0
((35 * 54 + -2x * 54) + -2x * (35 + -2x)) = 0
((1890 + -108x) + -2x * (35 + -2x)) = 0
(1890 + -108x + (35 * -2x + -2x * -2x)) = 0
(1890 + -108x + (-70x + 4x2)) = 0

Combine like terms: -108x + -70x = -178x
(1890 + -178x + 4x2) = 0

Solving
1890 + -178x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(945 + -89x + 2x2) = 0

Factor a trinomial.
2((35 + -2x)(27 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(35 + -2x)' equal to zero and attempt to solve:

Simplifying
35 + -2x = 0

Solving
35 + -2x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -2x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = 0 + -35
-2x = 0 + -35

Combine like terms: 0 + -35 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5

Subproblem 2
Set the factor '(27 + -1x)' equal to zero and attempt to solve:

Simplifying
27 + -1x = 0

Solving
27 + -1x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 0 + -27
-1x = 0 + -27

Combine like terms: 0 + -27 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27
Solution
x = {17.5, 27}

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