14y^3-88y^2-70y=0

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Solution for 14y^3-88y^2-70y=0 equation:


Simplifying
14y3 + -88y2 + -70y = 0

Reorder the terms:
-70y + -88y2 + 14y3 = 0

Solving
-70y + -88y2 + 14y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-35 + -44y + 7y2) = 0

Factor a trinomial.
2y((-5 + -7y)(7 + -1y)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(-5 + -7y)' equal to zero and attempt to solve: Simplifying -5 + -7y = 0 Solving -5 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7y = 0 + 5 -7y = 0 + 5 Combine like terms: 0 + 5 = 5 -7y = 5 Divide each side by '-7'. y = -0.7142857143 Simplifying y = -0.7142857143

Subproblem 3

Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7

Solution

y = {0, -0.7142857143, 7}

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