(25y-16)(15-14y)-(25y-16)=

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Solution for (25y-16)(15-14y)-(25y-16)= equation: 


Simplifying
(25y + -16)(15 + -14y) + -1(25y + -16) = 0

Reorder the terms:
(-16 + 25y)(15 + -14y) + -1(25y + -16) = 0

Multiply (-16 + 25y) * (15 + -14y)
(-16(15 + -14y) + 25y * (15 + -14y)) + -1(25y + -16) = 0
((15 * -16 + -14y * -16) + 25y * (15 + -14y)) + -1(25y + -16) = 0
((-240 + 224y) + 25y * (15 + -14y)) + -1(25y + -16) = 0
(-240 + 224y + (15 * 25y + -14y * 25y)) + -1(25y + -16) = 0
(-240 + 224y + (375y + -350y2)) + -1(25y + -16) = 0

Combine like terms: 224y + 375y = 599y
(-240 + 599y + -350y2) + -1(25y + -16) = 0

Reorder the terms:
-240 + 599y + -350y2 + -1(-16 + 25y) = 0
-240 + 599y + -350y2 + (-16 * -1 + 25y * -1) = 0
-240 + 599y + -350y2 + (16 + -25y) = 0

Reorder the terms:
-240 + 16 + 599y + -25y + -350y2 = 0

Combine like terms: -240 + 16 = -224
-224 + 599y + -25y + -350y2 = 0

Combine like terms: 599y + -25y = 574y
-224 + 574y + -350y2 = 0

Solving
-224 + 574y + -350y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '14'.
14(-16 + 41y + -25y2) = 0

Factor a trinomial.
14((-1 + y)(16 + -25y)) = 0

Ignore the factor 14.

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

Simplifying
-1 + y = 0

Solving
-1 + y = 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 + y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + y = 0 + 1
y = 0 + 1

Combine like terms: 0 + 1 = 1
y = 1

Simplifying
y = 1

Subproblem 2
Set the factor '(16 + -25y)' equal to zero and attempt to solve:

Simplifying
16 + -25y = 0

Solving
16 + -25y = 0

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

Add '-16' to each side of the equation.
16 + -16 + -25y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -25y = 0 + -16
-25y = 0 + -16

Combine like terms: 0 + -16 = -16
-25y = -16

Divide each side by '-25'.
y = 0.64

Simplifying
y = 0.64
Solution
y = {1, 0.64}

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