(4x^2-3x+6)(-6x+8)=0

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Solution for (4x^2-3x+6)(-6x+8)=0 equation:


Simplifying
(4x2 + -3x + 6)(-6x + 8) = 0

Reorder the terms:
(6 + -3x + 4x2)(-6x + 8) = 0

Reorder the terms:
(6 + -3x + 4x2)(8 + -6x) = 0

Multiply (6 + -3x + 4x2) * (8 + -6x)
(6(8 + -6x) + -3x * (8 + -6x) + 4x2 * (8 + -6x)) = 0
((8 * 6 + -6x * 6) + -3x * (8 + -6x) + 4x2 * (8 + -6x)) = 0
((48 + -36x) + -3x * (8 + -6x) + 4x2 * (8 + -6x)) = 0
(48 + -36x + (8 * -3x + -6x * -3x) + 4x2 * (8 + -6x)) = 0
(48 + -36x + (-24x + 18x2) + 4x2 * (8 + -6x)) = 0
(48 + -36x + -24x + 18x2 + (8 * 4x2 + -6x * 4x2)) = 0
(48 + -36x + -24x + 18x2 + (32x2 + -24x3)) = 0

Combine like terms: -36x + -24x = -60x
(48 + -60x + 18x2 + 32x2 + -24x3) = 0

Combine like terms: 18x2 + 32x2 = 50x2
(48 + -60x + 50x2 + -24x3) = 0

Solving
48 + -60x + 50x2 + -24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -30x + 25x2 + -12x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(24 + -30x + 25x2 + -12x3)' equal to zero and attempt to solve: Simplifying 24 + -30x + 25x2 + -12x3 = 0 Solving 24 + -30x + 25x2 + -12x3 = 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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