(y-4)(7y+8)=0

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Solution for (y-4)(7y+8)=0 equation:


Simplifying
(y + -4)(7y + 8) = 0

Reorder the terms:
(-4 + y)(7y + 8) = 0

Reorder the terms:
(-4 + y)(8 + 7y) = 0

Multiply (-4 + y) * (8 + 7y)
(-4(8 + 7y) + y(8 + 7y)) = 0
((8 * -4 + 7y * -4) + y(8 + 7y)) = 0
((-32 + -28y) + y(8 + 7y)) = 0
(-32 + -28y + (8 * y + 7y * y)) = 0
(-32 + -28y + (8y + 7y2)) = 0

Combine like terms: -28y + 8y = -20y
(-32 + -20y + 7y2) = 0

Solving
-32 + -20y + 7y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -7y)(4 + -1y) = 0

Subproblem 1

Set the factor '(-8 + -7y)' equal to zero and attempt to solve: Simplifying -8 + -7y = 0 Solving -8 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7y = 0 + 8 -7y = 0 + 8 Combine like terms: 0 + 8 = 8 -7y = 8 Divide each side by '-7'. y = -1.142857143 Simplifying y = -1.142857143

Subproblem 2

Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Solution

y = {-1.142857143, 4}

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