(7x-3)(4x^2-6x+4)=0

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Solution for (7x-3)(4x^2-6x+4)=0 equation:


Simplifying
(7x + -3)(4x2 + -6x + 4) = 0

Reorder the terms:
(-3 + 7x)(4x2 + -6x + 4) = 0

Reorder the terms:
(-3 + 7x)(4 + -6x + 4x2) = 0

Multiply (-3 + 7x) * (4 + -6x + 4x2)
(-3(4 + -6x + 4x2) + 7x * (4 + -6x + 4x2)) = 0
((4 * -3 + -6x * -3 + 4x2 * -3) + 7x * (4 + -6x + 4x2)) = 0
((-12 + 18x + -12x2) + 7x * (4 + -6x + 4x2)) = 0
(-12 + 18x + -12x2 + (4 * 7x + -6x * 7x + 4x2 * 7x)) = 0
(-12 + 18x + -12x2 + (28x + -42x2 + 28x3)) = 0

Reorder the terms:
(-12 + 18x + 28x + -12x2 + -42x2 + 28x3) = 0

Combine like terms: 18x + 28x = 46x
(-12 + 46x + -12x2 + -42x2 + 28x3) = 0

Combine like terms: -12x2 + -42x2 = -54x2
(-12 + 46x + -54x2 + 28x3) = 0

Solving
-12 + 46x + -54x2 + 28x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 23x + -27x2 + 14x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + 23x + -27x2 + 14x3)' equal to zero and attempt to solve: Simplifying -6 + 23x + -27x2 + 14x3 = 0 Solving -6 + 23x + -27x2 + 14x3 = 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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