-9y^2+48y-63=0

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Solution for -9y^2+48y-63=0 equation:


Simplifying
-9y2 + 48y + -63 = 0

Reorder the terms:
-63 + 48y + -9y2 = 0

Solving
-63 + 48y + -9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + 16y + -3y2) = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 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 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Simplifying y = 3

Subproblem 2

Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 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 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333

Solution

y = {3, 2.333333333}

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