5x^3(-2x^2+7x-6)=

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Solution for 5x^3(-2x^2+7x-6)= equation: 


Simplifying
5x3(-2x2 + 7x + -6) = 0

Reorder the terms:
5x3(-6 + 7x + -2x2) = 0
(-6 * 5x3 + 7x * 5x3 + -2x2 * 5x3) = 0
(-30x3 + 35x4 + -10x5) = 0

Solving
-30x3 + 35x4 + -10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x3'.
5x3(-6 + 7x + -2x2) = 0

Factor a trinomial.
5x3((-2 + x)(3 + -2x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

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

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

Simplifying
x = 2

Subproblem 3
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {2, 1.5}

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