(8y^2-3)(8y^2+3)=

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Solution for (8y^2-3)(8y^2+3)= equation:


Simplifying
(8y2 + -3)(8y2 + 3) = 0

Reorder the terms:
(-3 + 8y2)(8y2 + 3) = 0

Reorder the terms:
(-3 + 8y2)(3 + 8y2) = 0

Multiply (-3 + 8y2) * (3 + 8y2)
(-3(3 + 8y2) + 8y2 * (3 + 8y2)) = 0
((3 * -3 + 8y2 * -3) + 8y2 * (3 + 8y2)) = 0
((-9 + -24y2) + 8y2 * (3 + 8y2)) = 0
(-9 + -24y2 + (3 * 8y2 + 8y2 * 8y2)) = 0
(-9 + -24y2 + (24y2 + 64y4)) = 0

Combine like terms: -24y2 + 24y2 = 0
(-9 + 0 + 64y4) = 0
(-9 + 64y4) = 0

Solving
-9 + 64y4 = 0

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 64y4 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 64y4 = 0 + 9
64y4 = 0 + 9

Combine like terms: 0 + 9 = 9
64y4 = 9

Divide each side by '64'.
y4 = 0.140625

Simplifying
y4 = 0.140625

Reorder the terms:
-0.140625 + y4 = 0.140625 + -0.140625

Combine like terms: 0.140625 + -0.140625 = 0.000000
-0.140625 + y4 = 0.000000

Factor a difference between two squares.
(0.375 + y2)(-0.375 + y2) = 0.000000

Subproblem 1

Set the factor '(0.375 + y2)' equal to zero and attempt to solve: Simplifying 0.375 + y2 = 0 Solving 0.375 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-0.375' to each side of the equation. 0.375 + -0.375 + y2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + y2 = 0 + -0.375 y2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 y2 = -0.375 Simplifying y2 = -0.375 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 '(-0.375 + y2)' equal to zero and attempt to solve: Simplifying -0.375 + y2 = 0 Solving -0.375 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + y2 = 0 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + y2 = 0 + 0.375 y2 = 0 + 0.375 Combine like terms: 0 + 0.375 = 0.375 y2 = 0.375 Simplifying y2 = 0.375 Take the square root of each side: y = {-0.612372436, 0.612372436}

Solution

y = {-0.612372436, 0.612372436}

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