12y(y)-12=7y

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Solution for 12y(y)-12=7y equation:


Simplifying
12y(y) + -12 = 7y

Multiply y * y
12y2 + -12 = 7y

Reorder the terms:
-12 + 12y2 = 7y

Solving
-12 + 12y2 = 7y

Solving for variable 'y'.

Reorder the terms:
-12 + -7y + 12y2 = 7y + -7y

Combine like terms: 7y + -7y = 0
-12 + -7y + 12y2 = 0

Factor a trinomial.
(-3 + -4y)(4 + -3y) = 0

Subproblem 1

Set the factor '(-3 + -4y)' equal to zero and attempt to solve: Simplifying -3 + -4y = 0 Solving -3 + -4y = 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 + -4y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4y = 0 + 3 -4y = 0 + 3 Combine like terms: 0 + 3 = 3 -4y = 3 Divide each side by '-4'. y = -0.75 Simplifying y = -0.75

Subproblem 2

Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 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 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333

Solution

y = {-0.75, 1.333333333}

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