(4x^2-14x-30)(4x-7)=0

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Solution for (4x^2-14x-30)(4x-7)=0 equation:


Simplifying
(4x2 + -14x + -30)(4x + -7) = 0

Reorder the terms:
(-30 + -14x + 4x2)(4x + -7) = 0

Reorder the terms:
(-30 + -14x + 4x2)(-7 + 4x) = 0

Multiply (-30 + -14x + 4x2) * (-7 + 4x)
(-30(-7 + 4x) + -14x * (-7 + 4x) + 4x2 * (-7 + 4x)) = 0
((-7 * -30 + 4x * -30) + -14x * (-7 + 4x) + 4x2 * (-7 + 4x)) = 0
((210 + -120x) + -14x * (-7 + 4x) + 4x2 * (-7 + 4x)) = 0
(210 + -120x + (-7 * -14x + 4x * -14x) + 4x2 * (-7 + 4x)) = 0
(210 + -120x + (98x + -56x2) + 4x2 * (-7 + 4x)) = 0
(210 + -120x + 98x + -56x2 + (-7 * 4x2 + 4x * 4x2)) = 0
(210 + -120x + 98x + -56x2 + (-28x2 + 16x3)) = 0

Combine like terms: -120x + 98x = -22x
(210 + -22x + -56x2 + -28x2 + 16x3) = 0

Combine like terms: -56x2 + -28x2 = -84x2
(210 + -22x + -84x2 + 16x3) = 0

Solving
210 + -22x + -84x2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(105 + -11x + -42x2 + 8x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(105 + -11x + -42x2 + 8x3)' equal to zero and attempt to solve: Simplifying 105 + -11x + -42x2 + 8x3 = 0 Solving 105 + -11x + -42x2 + 8x3 = 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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