(x-1)(4x^2+4x+6)=0

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Solution for (x-1)(4x^2+4x+6)=0 equation:


Simplifying
(x + -1)(4x2 + 4x + 6) = 0

Reorder the terms:
(-1 + x)(4x2 + 4x + 6) = 0

Reorder the terms:
(-1 + x)(6 + 4x + 4x2) = 0

Multiply (-1 + x) * (6 + 4x + 4x2)
(-1(6 + 4x + 4x2) + x(6 + 4x + 4x2)) = 0
((6 * -1 + 4x * -1 + 4x2 * -1) + x(6 + 4x + 4x2)) = 0
((-6 + -4x + -4x2) + x(6 + 4x + 4x2)) = 0
(-6 + -4x + -4x2 + (6 * x + 4x * x + 4x2 * x)) = 0
(-6 + -4x + -4x2 + (6x + 4x2 + 4x3)) = 0

Reorder the terms:
(-6 + -4x + 6x + -4x2 + 4x2 + 4x3) = 0

Combine like terms: -4x + 6x = 2x
(-6 + 2x + -4x2 + 4x2 + 4x3) = 0

Combine like terms: -4x2 + 4x2 = 0
(-6 + 2x + 0 + 4x3) = 0
(-6 + 2x + 4x3) = 0

Solving
-6 + 2x + 4x3 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + x + 2x3)' equal to zero and attempt to solve: Simplifying -3 + x + 2x3 = 0 Solving -3 + x + 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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