(8y+3)(2y-7)=0

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Solution for (8y+3)(2y-7)=0 equation:


Simplifying
(8y + 3)(2y + -7) = 0

Reorder the terms:
(3 + 8y)(2y + -7) = 0

Reorder the terms:
(3 + 8y)(-7 + 2y) = 0

Multiply (3 + 8y) * (-7 + 2y)
(3(-7 + 2y) + 8y * (-7 + 2y)) = 0
((-7 * 3 + 2y * 3) + 8y * (-7 + 2y)) = 0
((-21 + 6y) + 8y * (-7 + 2y)) = 0
(-21 + 6y + (-7 * 8y + 2y * 8y)) = 0
(-21 + 6y + (-56y + 16y2)) = 0

Combine like terms: 6y + -56y = -50y
(-21 + -50y + 16y2) = 0

Solving
-21 + -50y + 16y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -8y)(7 + -2y) = 0

Subproblem 1

Set the factor '(-3 + -8y)' equal to zero and attempt to solve: Simplifying -3 + -8y = 0 Solving -3 + -8y = 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 + -8y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8y = 0 + 3 -8y = 0 + 3 Combine like terms: 0 + 3 = 3 -8y = 3 Divide each side by '-8'. y = -0.375 Simplifying y = -0.375

Subproblem 2

Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 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 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5

Solution

y = {-0.375, 3.5}

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