(2x-5)(2x^2+6x-4)=0

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Solution for (2x-5)(2x^2+6x-4)=0 equation:


Simplifying
(2x + -5)(2x2 + 6x + -4) = 0

Reorder the terms:
(-5 + 2x)(2x2 + 6x + -4) = 0

Reorder the terms:
(-5 + 2x)(-4 + 6x + 2x2) = 0

Multiply (-5 + 2x) * (-4 + 6x + 2x2)
(-5(-4 + 6x + 2x2) + 2x * (-4 + 6x + 2x2)) = 0
((-4 * -5 + 6x * -5 + 2x2 * -5) + 2x * (-4 + 6x + 2x2)) = 0
((20 + -30x + -10x2) + 2x * (-4 + 6x + 2x2)) = 0
(20 + -30x + -10x2 + (-4 * 2x + 6x * 2x + 2x2 * 2x)) = 0
(20 + -30x + -10x2 + (-8x + 12x2 + 4x3)) = 0

Reorder the terms:
(20 + -30x + -8x + -10x2 + 12x2 + 4x3) = 0

Combine like terms: -30x + -8x = -38x
(20 + -38x + -10x2 + 12x2 + 4x3) = 0

Combine like terms: -10x2 + 12x2 = 2x2
(20 + -38x + 2x2 + 4x3) = 0

Solving
20 + -38x + 2x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -19x + x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(10 + -19x + x2 + 2x3)' equal to zero and attempt to solve: Simplifying 10 + -19x + x2 + 2x3 = 0 Solving 10 + -19x + x2 + 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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