(5x^2-6x+8)(3x+3)=0

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Solution for (5x^2-6x+8)(3x+3)=0 equation:


Simplifying
(5x2 + -6x + 8)(3x + 3) = 0

Reorder the terms:
(8 + -6x + 5x2)(3x + 3) = 0

Reorder the terms:
(8 + -6x + 5x2)(3 + 3x) = 0

Multiply (8 + -6x + 5x2) * (3 + 3x)
(8(3 + 3x) + -6x * (3 + 3x) + 5x2 * (3 + 3x)) = 0
((3 * 8 + 3x * 8) + -6x * (3 + 3x) + 5x2 * (3 + 3x)) = 0
((24 + 24x) + -6x * (3 + 3x) + 5x2 * (3 + 3x)) = 0
(24 + 24x + (3 * -6x + 3x * -6x) + 5x2 * (3 + 3x)) = 0
(24 + 24x + (-18x + -18x2) + 5x2 * (3 + 3x)) = 0
(24 + 24x + -18x + -18x2 + (3 * 5x2 + 3x * 5x2)) = 0
(24 + 24x + -18x + -18x2 + (15x2 + 15x3)) = 0

Combine like terms: 24x + -18x = 6x
(24 + 6x + -18x2 + 15x2 + 15x3) = 0

Combine like terms: -18x2 + 15x2 = -3x2
(24 + 6x + -3x2 + 15x3) = 0

Solving
24 + 6x + -3x2 + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + 2x + -1x2 + 5x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(8 + 2x + -1x2 + 5x3)' equal to zero and attempt to solve: Simplifying 8 + 2x + -1x2 + 5x3 = 0 Solving 8 + 2x + -1x2 + 5x3 = 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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