(2y-3)(13y-9)=-57y

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Solution for (2y-3)(13y-9)=-57y equation:


Simplifying
(2y + -3)(13y + -9) = -57y

Reorder the terms:
(-3 + 2y)(13y + -9) = -57y

Reorder the terms:
(-3 + 2y)(-9 + 13y) = -57y

Multiply (-3 + 2y) * (-9 + 13y)
(-3(-9 + 13y) + 2y * (-9 + 13y)) = -57y
((-9 * -3 + 13y * -3) + 2y * (-9 + 13y)) = -57y
((27 + -39y) + 2y * (-9 + 13y)) = -57y
(27 + -39y + (-9 * 2y + 13y * 2y)) = -57y
(27 + -39y + (-18y + 26y2)) = -57y

Combine like terms: -39y + -18y = -57y
(27 + -57y + 26y2) = -57y

Add '57y' to each side of the equation.
27 + -57y + 57y + 26y2 = -57y + 57y

Combine like terms: -57y + 57y = 0
27 + 0 + 26y2 = -57y + 57y
27 + 26y2 = -57y + 57y

Combine like terms: -57y + 57y = 0
27 + 26y2 = 0

Solving
27 + 26y2 = 0

Solving for variable 'y'.

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

Add '-27' to each side of the equation.
27 + -27 + 26y2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 26y2 = 0 + -27
26y2 = 0 + -27

Combine like terms: 0 + -27 = -27
26y2 = -27

Divide each side by '26'.
y2 = -1.038461538

Simplifying
y2 = -1.038461538

Reorder the terms:
1.038461538 + y2 = -1.038461538 + 1.038461538

Combine like terms: -1.038461538 + 1.038461538 = 0.000000000
1.038461538 + y2 = 0.000000000

The solution to this equation could not be determined.

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