(11x+5)(15x-7)x=

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Solution for (11x+5)(15x-7)x= equation: 


Simplifying
(11x + 5)(15x + -7) * x = 0

Reorder the terms:
(5 + 11x)(15x + -7) * x = 0

Reorder the terms:
(5 + 11x)(-7 + 15x) * x = 0

Reorder the terms for easier multiplication:
x(5 + 11x)(-7 + 15x) = 0

Multiply (5 + 11x) * (-7 + 15x)
x(5(-7 + 15x) + 11x * (-7 + 15x)) = 0
x((-7 * 5 + 15x * 5) + 11x * (-7 + 15x)) = 0
x((-35 + 75x) + 11x * (-7 + 15x)) = 0
x(-35 + 75x + (-7 * 11x + 15x * 11x)) = 0
x(-35 + 75x + (-77x + 165x2)) = 0

Combine like terms: 75x + -77x = -2x
x(-35 + -2x + 165x2) = 0
(-35 * x + -2x * x + 165x2 * x) = 0
(-35x + -2x2 + 165x3) = 0

Solving
-35x + -2x2 + 165x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-35 + -2x + 165x2) = 0

Factor a trinomial.
x((-5 + -11x)(7 + -15x)) = 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 '(-5 + -11x)' equal to zero and attempt to solve:

Simplifying
-5 + -11x = 0

Solving
-5 + -11x = 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 + -11x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11x = 0 + 5
-11x = 0 + 5

Combine like terms: 0 + 5 = 5
-11x = 5

Divide each side by '-11'.
x = -0.4545454545

Simplifying
x = -0.4545454545

Subproblem 3
Set the factor '(7 + -15x)' equal to zero and attempt to solve:

Simplifying
7 + -15x = 0

Solving
7 + -15x = 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 + -15x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -15x = 0 + -7
-15x = 0 + -7

Combine like terms: 0 + -7 = -7
-15x = -7

Divide each side by '-15'.
x = 0.4666666667

Simplifying
x = 0.4666666667
Solution
x = {0, -0.4545454545, 0.4666666667}

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