8y(7y-6)+40y=0

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Solution for 8y(7y-6)+40y=0 equation:


Simplifying
8y(7y + -6) + 40y = 0

Reorder the terms:
8y(-6 + 7y) + 40y = 0
(-6 * 8y + 7y * 8y) + 40y = 0
(-48y + 56y2) + 40y = 0

Reorder the terms:
-48y + 40y + 56y2 = 0

Combine like terms: -48y + 40y = -8y
-8y + 56y2 = 0

Solving
-8y + 56y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y'.
8y(-1 + 7y) = 0

Ignore the factor 8.

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 '(-1 + 7y)' equal to zero and attempt to solve: Simplifying -1 + 7y = 0 Solving -1 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7y = 0 + 1 7y = 0 + 1 Combine like terms: 0 + 1 = 1 7y = 1 Divide each side by '7'. y = 0.1428571429 Simplifying y = 0.1428571429

Solution

y = {0, 0.1428571429}

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