36y^2-84y-147=

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Solution for 36y^2-84y-147= equation:


Simplifying
36y2 + -84y + -147 = 0

Reorder the terms:
-147 + -84y + 36y2 = 0

Solving
-147 + -84y + 36y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-49 + -28y + 12y2) = 0

Factor a trinomial.
3((-7 + -6y)(7 + -2y)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-7 + -6y)' equal to zero and attempt to solve: Simplifying -7 + -6y = 0 Solving -7 + -6y = 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 + -6y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6y = 0 + 7 -6y = 0 + 7 Combine like terms: 0 + 7 = 7 -6y = 7 Divide each side by '-6'. y = -1.166666667 Simplifying y = -1.166666667

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 = {-1.166666667, 3.5}

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