solve(10y-15)(5y+12)=0

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Solution for solve(10y-15)(5y+12)=0 equation:


Simplifying
solve(10y + -15)(5y + 12) = 0

Reorder the terms:
elosv(-15 + 10y)(5y + 12) = 0

Reorder the terms:
elosv(-15 + 10y)(12 + 5y) = 0

Multiply (-15 + 10y) * (12 + 5y)
elosv(-15(12 + 5y) + 10y * (12 + 5y)) = 0
elosv((12 * -15 + 5y * -15) + 10y * (12 + 5y)) = 0
elosv((-180 + -75y) + 10y * (12 + 5y)) = 0
elosv(-180 + -75y + (12 * 10y + 5y * 10y)) = 0
elosv(-180 + -75y + (120y + 50y2)) = 0

Combine like terms: -75y + 120y = 45y
elosv(-180 + 45y + 50y2) = 0
(-180 * elosv + 45y * elosv + 50y2 * elosv) = 0
(-180elosv + 45elosvy + 50elosvy2) = 0

Solving
-180elosv + 45elosvy + 50elosvy2 = 0

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '5elosv'.
5elosv(-36 + 9y + 10y2) = 0

Factor a trinomial.
5elosv((-12 + -5y)(3 + -2y)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'elosv' equal to zero and attempt to solve: Simplifying elosv = 0 Solving elosv = 0 Move all terms containing e to the left, all other terms to the right. Simplifying elosv = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-12 + -5y)' equal to zero and attempt to solve: Simplifying -12 + -5y = 0 Solving -12 + -5y = 0 Move all terms containing e to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5y = 0 + 12 -5y = 0 + 12 Combine like terms: 0 + 12 = 12 -5y = 12 Add '5y' to each side of the equation. -5y + 5y = 12 + 5y Combine like terms: -5y + 5y = 0 0 = 12 + 5y Simplifying 0 = 12 + 5y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Add '2y' to each side of the equation. -2y + 2y = -3 + 2y Combine like terms: -2y + 2y = 0 0 = -3 + 2y Simplifying 0 = -3 + 2y 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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