5x(7-2x)(9x+5)=0

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Solution for 5x(7-2x)(9x+5)=0 equation: 


Simplifying
5x(7 + -2x)(9x + 5) = 0

Reorder the terms:
5x(7 + -2x)(5 + 9x) = 0

Multiply (7 + -2x) * (5 + 9x)
5x(7(5 + 9x) + -2x * (5 + 9x)) = 0
5x((5 * 7 + 9x * 7) + -2x * (5 + 9x)) = 0
5x((35 + 63x) + -2x * (5 + 9x)) = 0
5x(35 + 63x + (5 * -2x + 9x * -2x)) = 0
5x(35 + 63x + (-10x + -18x2)) = 0

Combine like terms: 63x + -10x = 53x
5x(35 + 53x + -18x2) = 0
(35 * 5x + 53x * 5x + -18x2 * 5x) = 0
(175x + 265x2 + -90x3) = 0

Solving
175x + 265x2 + -90x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(35 + 53x + -18x2) = 0

Factor a trinomial.
5x((7 + -2x)(5 + 9x)) = 0

Ignore the factor 5.

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 + -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

Subproblem 3
Set the factor '(5 + 9x)' equal to zero and attempt to solve:

Simplifying
5 + 9x = 0

Solving
5 + 9x = 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 + 9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 9x = 0 + -5
9x = 0 + -5

Combine like terms: 0 + -5 = -5
9x = -5

Divide each side by '9'.
x = -0.5555555556

Simplifying
x = -0.5555555556
Solution
x = {0, 3.5, -0.5555555556}

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