2x(3-7x)(7+2x)=0

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


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

Multiply (3 + -7x) * (7 + 2x)
2x(3(7 + 2x) + -7x * (7 + 2x)) = 0
2x((7 * 3 + 2x * 3) + -7x * (7 + 2x)) = 0
2x((21 + 6x) + -7x * (7 + 2x)) = 0
2x(21 + 6x + (7 * -7x + 2x * -7x)) = 0
2x(21 + 6x + (-49x + -14x2)) = 0

Combine like terms: 6x + -49x = -43x
2x(21 + -43x + -14x2) = 0
(21 * 2x + -43x * 2x + -14x2 * 2x) = 0
(42x + -86x2 + -28x3) = 0

Solving
42x + -86x2 + -28x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(21 + -43x + -14x2) = 0

Factor a trinomial.
2x((3 + -7x)(7 + 2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

Subproblem 3
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {0, 0.4285714286, -3.5}

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