(6x-2x^2)(5-2x)=10

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Solution for (6x-2x^2)(5-2x)=10 equation: 


Simplifying
(6x + -2x2)(5 + -2x) = 10

Multiply (6x + -2x2) * (5 + -2x)
(6x * (5 + -2x) + -2x2 * (5 + -2x)) = 10
((5 * 6x + -2x * 6x) + -2x2 * (5 + -2x)) = 10
((30x + -12x2) + -2x2 * (5 + -2x)) = 10
(30x + -12x2 + (5 * -2x2 + -2x * -2x2)) = 10
(30x + -12x2 + (-10x2 + 4x3)) = 10

Combine like terms: -12x2 + -10x2 = -22x2
(30x + -22x2 + 4x3) = 10

Solving
30x + -22x2 + 4x3 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 30x + -22x2 + 4x3 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 30x + -22x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 15x + -11x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + 15x + -11x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-5 + 15x + -11x2 + 2x3 = 0

Solving
-5 + 15x + -11x2 + 2x3 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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