(7-3x)x(2-5x)=0

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Solution for (7-3x)x(2-5x)=0 equation: 


Simplifying
(7 + -3x) * x(2 + -5x) = 0

Reorder the terms for easier multiplication:
x(7 + -3x)(2 + -5x) = 0

Multiply (7 + -3x) * (2 + -5x)
x(7(2 + -5x) + -3x * (2 + -5x)) = 0
x((2 * 7 + -5x * 7) + -3x * (2 + -5x)) = 0
x((14 + -35x) + -3x * (2 + -5x)) = 0
x(14 + -35x + (2 * -3x + -5x * -3x)) = 0
x(14 + -35x + (-6x + 15x2)) = 0

Combine like terms: -35x + -6x = -41x
x(14 + -41x + 15x2) = 0
(14 * x + -41x * x + 15x2 * x) = 0
(14x + -41x2 + 15x3) = 0

Solving
14x + -41x2 + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + -41x + 15x2) = 0

Factor a trinomial.
x((2 + -5x)(7 + -3x)) = 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 '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

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

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

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

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

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {0, 0.4, 2.333333333}

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