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

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


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

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

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

Multiply (-7 + 9x) * (9 + 7x)
-1x(-7(9 + 7x) + 9x * (9 + 7x)) = 0
-1x((9 * -7 + 7x * -7) + 9x * (9 + 7x)) = 0
-1x((-63 + -49x) + 9x * (9 + 7x)) = 0
-1x(-63 + -49x + (9 * 9x + 7x * 9x)) = 0
-1x(-63 + -49x + (81x + 63x2)) = 0

Combine like terms: -49x + 81x = 32x
-1x(-63 + 32x + 63x2) = 0
(-63 * -1x + 32x * -1x + 63x2 * -1x) = 0
(63x + -32x2 + -63x3) = 0

Solving
63x + -32x2 + -63x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(63 + -32x + -63x2) = 0

Factor a trinomial.
x((7 + -9x)(9 + 7x)) = 0


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 '(7 + -9x)' equal to zero and attempt to solve:

Simplifying
7 + -9x = 0

Solving
7 + -9x = 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 + -9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = 0 + -7
-9x = 0 + -7

Combine like terms: 0 + -7 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

Subproblem 3
Set the factor '(9 + 7x)' equal to zero and attempt to solve:

Simplifying
9 + 7x = 0

Solving
9 + 7x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 7x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 0 + -9
7x = 0 + -9

Combine like terms: 0 + -9 = -9
7x = -9

Divide each side by '7'.
x = -1.285714286

Simplifying
x = -1.285714286
Solution
x = {0, 0.7777777778, -1.285714286}

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