(2y^3-3)(5y^3-7)=

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Solution for (2y^3-3)(5y^3-7)= equation: 


Simplifying
(2y3 + -3)(5y3 + -7) = 0

Reorder the terms:
(-3 + 2y3)(5y3 + -7) = 0

Reorder the terms:
(-3 + 2y3)(-7 + 5y3) = 0

Multiply (-3 + 2y3) * (-7 + 5y3)
(-3(-7 + 5y3) + 2y3 * (-7 + 5y3)) = 0
((-7 * -3 + 5y3 * -3) + 2y3 * (-7 + 5y3)) = 0
((21 + -15y3) + 2y3 * (-7 + 5y3)) = 0
(21 + -15y3 + (-7 * 2y3 + 5y3 * 2y3)) = 0
(21 + -15y3 + (-14y3 + 10y6)) = 0

Combine like terms: -15y3 + -14y3 = -29y3
(21 + -29y3 + 10y6) = 0

Solving
21 + -29y3 + 10y6 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -5y3)(3 + -2y3) = 0


Subproblem 1
Set the factor '(7 + -5y3)' equal to zero and attempt to solve:

Simplifying
7 + -5y3 = 0

Solving
7 + -5y3 = 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 + -5y3 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5y3 = 0 + -7
-5y3 = 0 + -7

Combine like terms: 0 + -7 = -7
-5y3 = -7

Divide each side by '-5'.
y3 = 1.4

Simplifying
y3 = 1.4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3 + -2y3)' equal to zero and attempt to solve:

Simplifying
3 + -2y3 = 0

Solving
3 + -2y3 = 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 + -2y3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2y3 = 0 + -3
-2y3 = 0 + -3

Combine like terms: 0 + -3 = -3
-2y3 = -3

Divide each side by '-2'.
y3 = 1.5

Simplifying
y3 = 1.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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