(6-4x)x(5-2x)=6

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Solution for (6-4x)x(5-2x)=6 equation:


Simplifying
(6 + -4x) * x(5 + -2x) = 6

Reorder the terms for easier multiplication:
x(6 + -4x)(5 + -2x) = 6

Multiply (6 + -4x) * (5 + -2x)
x(6(5 + -2x) + -4x * (5 + -2x)) = 6
x((5 * 6 + -2x * 6) + -4x * (5 + -2x)) = 6
x((30 + -12x) + -4x * (5 + -2x)) = 6
x(30 + -12x + (5 * -4x + -2x * -4x)) = 6
x(30 + -12x + (-20x + 8x2)) = 6

Combine like terms: -12x + -20x = -32x
x(30 + -32x + 8x2) = 6
(30 * x + -32x * x + 8x2 * x) = 6
(30x + -32x2 + 8x3) = 6

Solving
30x + -32x2 + 8x3 = 6

Solving for variable 'x'.

Reorder the terms:
-6 + 30x + -32x2 + 8x3 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 30x + -32x2 + 8x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 15x + -16x2 + 4x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + 15x + -16x2 + 4x3)' equal to zero and attempt to solve: Simplifying -3 + 15x + -16x2 + 4x3 = 0 Solving -3 + 15x + -16x2 + 4x3 = 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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