(y^2+6y-7)(4y-24)=0

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Solution for (y^2+6y-7)(4y-24)=0 equation:


Simplifying
(y2 + 6y + -7)(4y + -24) = 0

Reorder the terms:
(-7 + 6y + y2)(4y + -24) = 0

Reorder the terms:
(-7 + 6y + y2)(-24 + 4y) = 0

Multiply (-7 + 6y + y2) * (-24 + 4y)
(-7(-24 + 4y) + 6y * (-24 + 4y) + y2(-24 + 4y)) = 0
((-24 * -7 + 4y * -7) + 6y * (-24 + 4y) + y2(-24 + 4y)) = 0
((168 + -28y) + 6y * (-24 + 4y) + y2(-24 + 4y)) = 0
(168 + -28y + (-24 * 6y + 4y * 6y) + y2(-24 + 4y)) = 0
(168 + -28y + (-144y + 24y2) + y2(-24 + 4y)) = 0
(168 + -28y + -144y + 24y2 + (-24 * y2 + 4y * y2)) = 0
(168 + -28y + -144y + 24y2 + (-24y2 + 4y3)) = 0

Combine like terms: -28y + -144y = -172y
(168 + -172y + 24y2 + -24y2 + 4y3) = 0

Combine like terms: 24y2 + -24y2 = 0
(168 + -172y + 0 + 4y3) = 0
(168 + -172y + 4y3) = 0

Solving
168 + -172y + 4y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(42 + -43y + y3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(42 + -43y + y3)' equal to zero and attempt to solve: Simplifying 42 + -43y + y3 = 0 Solving 42 + -43y + y3 = 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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