(-6y+4)(6y+7)=

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Solution for (-6y+4)(6y+7)= equation: 


Simplifying
(-6y + 4)(6y + 7) = 0

Reorder the terms:
(4 + -6y)(6y + 7) = 0

Reorder the terms:
(4 + -6y)(7 + 6y) = 0

Multiply (4 + -6y) * (7 + 6y)
(4(7 + 6y) + -6y * (7 + 6y)) = 0
((7 * 4 + 6y * 4) + -6y * (7 + 6y)) = 0
((28 + 24y) + -6y * (7 + 6y)) = 0
(28 + 24y + (7 * -6y + 6y * -6y)) = 0
(28 + 24y + (-42y + -36y2)) = 0

Combine like terms: 24y + -42y = -18y
(28 + -18y + -36y2) = 0

Solving
28 + -18y + -36y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -9y + -18y2) = 0

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

Ignore the factor 2.

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

Simplifying
2 + -3y = 0

Solving
2 + -3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -3y = 0 + -2

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

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

Divide each side by '-3'.
y = 0.6666666667

Simplifying
y = 0.6666666667

Subproblem 2
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
Solution
y = {0.6666666667, -1.166666667}

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