3(2x-10)(7x-70)=0

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Solution for 3(2x-10)(7x-70)=0 equation: 


Simplifying
3(2x + -10)(7x + -70) = 0

Reorder the terms:
3(-10 + 2x)(7x + -70) = 0

Reorder the terms:
3(-10 + 2x)(-70 + 7x) = 0

Multiply (-10 + 2x) * (-70 + 7x)
3(-10(-70 + 7x) + 2x * (-70 + 7x)) = 0
3((-70 * -10 + 7x * -10) + 2x * (-70 + 7x)) = 0
3((700 + -70x) + 2x * (-70 + 7x)) = 0
3(700 + -70x + (-70 * 2x + 7x * 2x)) = 0
3(700 + -70x + (-140x + 14x2)) = 0

Combine like terms: -70x + -140x = -210x
3(700 + -210x + 14x2) = 0
(700 * 3 + -210x * 3 + 14x2 * 3) = 0
(2100 + -630x + 42x2) = 0

Solving
2100 + -630x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '42'.
42(50 + -15x + x2) = 0

Factor a trinomial.
42((5 + -1x)(10 + -1x)) = 0

Ignore the factor 42.

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {5, 10}

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