(4x^3+4x^2-3c)(x^2-5)=0

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Solution for (4x^3+4x^2-3c)(x^2-5)=0 equation: 


Simplifying
(4x3 + 4x2 + -3c)(x2 + -5) = 0

Reorder the terms:
(-3c + 4x2 + 4x3)(x2 + -5) = 0

Reorder the terms:
(-3c + 4x2 + 4x3)(-5 + x2) = 0

Multiply (-3c + 4x2 + 4x3) * (-5 + x2)
(-3c * (-5 + x2) + 4x2 * (-5 + x2) + 4x3 * (-5 + x2)) = 0
((-5 * -3c + x2 * -3c) + 4x2 * (-5 + x2) + 4x3 * (-5 + x2)) = 0
((15c + -3cx2) + 4x2 * (-5 + x2) + 4x3 * (-5 + x2)) = 0
(15c + -3cx2 + (-5 * 4x2 + x2 * 4x2) + 4x3 * (-5 + x2)) = 0
(15c + -3cx2 + (-20x2 + 4x4) + 4x3 * (-5 + x2)) = 0
(15c + -3cx2 + -20x2 + 4x4 + (-5 * 4x3 + x2 * 4x3)) = 0
(15c + -3cx2 + -20x2 + 4x4 + (-20x3 + 4x5)) = 0

Reorder the terms:
(15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5) = 0
(15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5) = 0

Solving
15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5 = 0

Solving for variable 'c'.

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

Add '20x2' to each side of the equation.
15c + -3cx2 + -20x2 + -20x3 + 4x4 + 20x2 + 4x5 = 0 + 20x2

Reorder the terms:
15c + -3cx2 + -20x2 + 20x2 + -20x3 + 4x4 + 4x5 = 0 + 20x2

Combine like terms: -20x2 + 20x2 = 0
15c + -3cx2 + 0 + -20x3 + 4x4 + 4x5 = 0 + 20x2
15c + -3cx2 + -20x3 + 4x4 + 4x5 = 0 + 20x2
Remove the zero:
15c + -3cx2 + -20x3 + 4x4 + 4x5 = 20x2

Add '20x3' to each side of the equation.
15c + -3cx2 + -20x3 + 4x4 + 20x3 + 4x5 = 20x2 + 20x3

Reorder the terms:
15c + -3cx2 + -20x3 + 20x3 + 4x4 + 4x5 = 20x2 + 20x3

Combine like terms: -20x3 + 20x3 = 0
15c + -3cx2 + 0 + 4x4 + 4x5 = 20x2 + 20x3
15c + -3cx2 + 4x4 + 4x5 = 20x2 + 20x3

Add '-4x4' to each side of the equation.
15c + -3cx2 + 4x4 + -4x4 + 4x5 = 20x2 + 20x3 + -4x4

Combine like terms: 4x4 + -4x4 = 0
15c + -3cx2 + 0 + 4x5 = 20x2 + 20x3 + -4x4
15c + -3cx2 + 4x5 = 20x2 + 20x3 + -4x4

Add '-4x5' to each side of the equation.
15c + -3cx2 + 4x5 + -4x5 = 20x2 + 20x3 + -4x4 + -4x5

Combine like terms: 4x5 + -4x5 = 0
15c + -3cx2 + 0 = 20x2 + 20x3 + -4x4 + -4x5
15c + -3cx2 = 20x2 + 20x3 + -4x4 + -4x5

Reorder the terms:
15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5 = 20x2 + -20x2 + 20x3 + -20x3 + -4x4 + 4x4 + -4x5 + 4x5

Combine like terms: 20x2 + -20x2 = 0
15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5 = 0 + 20x3 + -20x3 + -4x4 + 4x4 + -4x5 + 4x5
15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5 = 20x3 + -20x3 + -4x4 + 4x4 + -4x5 + 4x5

Combine like terms: 20x3 + -20x3 = 0
15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5 = 0 + -4x4 + 4x4 + -4x5 + 4x5
15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5 = -4x4 + 4x4 + -4x5 + 4x5

Combine like terms: -4x4 + 4x4 = 0
15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5 = 0 + -4x5 + 4x5
15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5 = -4x5 + 4x5

Combine like terms: -4x5 + 4x5 = 0
15c + -3cx2 + -20x2 + -20x3 + 4x4 + 4x5 = 0

The solution to this equation could not be determined.

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