0=10y^2-7y-12

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Solution for 0=10y^2-7y-12 equation: 


Simplifying
0 = 10y2 + -7y + -12

Reorder the terms:
0 = -12 + -7y + 10y2

Solving
0 = -12 + -7y + 10y2

Solving for variable 'y'.

Combine like terms: 0 + 12 = 12
12 + 7y + -10y2 = -12 + -7y + 10y2 + 12 + 7y + -10y2

Reorder the terms:
12 + 7y + -10y2 = -12 + 12 + -7y + 7y + 10y2 + -10y2

Combine like terms: -12 + 12 = 0
12 + 7y + -10y2 = 0 + -7y + 7y + 10y2 + -10y2
12 + 7y + -10y2 = -7y + 7y + 10y2 + -10y2

Combine like terms: -7y + 7y = 0
12 + 7y + -10y2 = 0 + 10y2 + -10y2
12 + 7y + -10y2 = 10y2 + -10y2

Combine like terms: 10y2 + -10y2 = 0
12 + 7y + -10y2 = 0

Factor a trinomial.
(3 + -2y)(4 + 5y) = 0


Subproblem 1
Set the factor '(3 + -2y)' equal to zero and attempt to solve:

Simplifying
3 + -2y = 0

Solving
3 + -2y = 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 + -2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = 0 + -3
-2y = 0 + -3

Combine like terms: 0 + -3 = -3
-2y = -3

Divide each side by '-2'.
y = 1.5

Simplifying
y = 1.5

Subproblem 2
Set the factor '(4 + 5y)' equal to zero and attempt to solve:

Simplifying
4 + 5y = 0

Solving
4 + 5y = 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 + 5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5y = 0 + -4
5y = 0 + -4

Combine like terms: 0 + -4 = -4
5y = -4

Divide each side by '5'.
y = -0.8

Simplifying
y = -0.8
Solution
y = {1.5, -0.8}

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