(35-2x)(70-2x)=

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Solution for (35-2x)(70-2x)= equation: 


Simplifying
(35 + -2x)(70 + -2x) = 0

Multiply (35 + -2x) * (70 + -2x)
(35(70 + -2x) + -2x * (70 + -2x)) = 0
((70 * 35 + -2x * 35) + -2x * (70 + -2x)) = 0
((2450 + -70x) + -2x * (70 + -2x)) = 0
(2450 + -70x + (70 * -2x + -2x * -2x)) = 0
(2450 + -70x + (-140x + 4x2)) = 0

Combine like terms: -70x + -140x = -210x
(2450 + -210x + 4x2) = 0

Solving
2450 + -210x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1225 + -105x + 2x2) = 0

Factor a trinomial.
2((35 + -2x)(35 + -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 '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 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 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Solution
x = {17.5, 35}

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