(5y-3)(2y+5)=0

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Solution for (5y-3)(2y+5)=0 equation:


Simplifying
(5y + -3)(2y + 5) = 0

Reorder the terms:
(-3 + 5y)(2y + 5) = 0

Reorder the terms:
(-3 + 5y)(5 + 2y) = 0

Multiply (-3 + 5y) * (5 + 2y)
(-3(5 + 2y) + 5y * (5 + 2y)) = 0
((5 * -3 + 2y * -3) + 5y * (5 + 2y)) = 0
((-15 + -6y) + 5y * (5 + 2y)) = 0
(-15 + -6y + (5 * 5y + 2y * 5y)) = 0
(-15 + -6y + (25y + 10y2)) = 0

Combine like terms: -6y + 25y = 19y
(-15 + 19y + 10y2) = 0

Solving
-15 + 19y + 10y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(-5 + -2y)' equal to zero and attempt to solve: Simplifying -5 + -2y = 0 Solving -5 + -2y = 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 + -2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 0 + 5 -2y = 0 + 5 Combine like terms: 0 + 5 = 5 -2y = 5 Divide each side by '-2'. y = -2.5 Simplifying y = -2.5

Subproblem 2

Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6

Solution

y = {-2.5, 0.6}

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