6y^2+15y-21=

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Solution for 6y^2+15y-21= equation:


Simplifying
6y2 + 15y + -21 = 0

Reorder the terms:
-21 + 15y + 6y2 = 0

Solving
-21 + 15y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + 5y + 2y2) = 0

Factor a trinomial.
3((-7 + -2y)(1 + -1y)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

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

Solution

y = {-3.5, 1}

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