-2x(7x-7)(9x+1)=0

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Solution for -2x(7x-7)(9x+1)=0 equation: 


Simplifying
-2x(7x + -7)(9x + 1) = 0

Reorder the terms:
-2x(-7 + 7x)(9x + 1) = 0

Reorder the terms:
-2x(-7 + 7x)(1 + 9x) = 0

Multiply (-7 + 7x) * (1 + 9x)
-2x(-7(1 + 9x) + 7x * (1 + 9x)) = 0
-2x((1 * -7 + 9x * -7) + 7x * (1 + 9x)) = 0
-2x((-7 + -63x) + 7x * (1 + 9x)) = 0
-2x(-7 + -63x + (1 * 7x + 9x * 7x)) = 0
-2x(-7 + -63x + (7x + 63x2)) = 0

Combine like terms: -63x + 7x = -56x
-2x(-7 + -56x + 63x2) = 0
(-7 * -2x + -56x * -2x + 63x2 * -2x) = 0
(14x + 112x2 + -126x3) = 0

Solving
14x + 112x2 + -126x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '14x'.
14x(1 + 8x + -9x2) = 0

Factor a trinomial.
14x((1 + -1x)(1 + 9x)) = 0

Ignore the factor 14.

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 '(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 3
Set the factor '(1 + 9x)' equal to zero and attempt to solve:

Simplifying
1 + 9x = 0

Solving
1 + 9x = 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 + 9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 0 + -1
9x = 0 + -1

Combine like terms: 0 + -1 = -1
9x = -1

Divide each side by '9'.
x = -0.1111111111

Simplifying
x = -0.1111111111
Solution
x = {0, 1, -0.1111111111}

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