4+64y+256y^2=0

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Solution for 4+64y+256y^2=0 equation:


Simplifying
4 + 64y + 256y2 = 0

Solving
4 + 64y + 256y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 16y + 64y2) = 0

Factor a trinomial.
4((1 + 8y)(1 + 8y)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(1 + 8y)' equal to zero and attempt to solve: Simplifying 1 + 8y = 0 Solving 1 + 8y = 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 + 8y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8y = 0 + -1 8y = 0 + -1 Combine like terms: 0 + -1 = -1 8y = -1 Divide each side by '8'. y = -0.125 Simplifying y = -0.125

Subproblem 2

Set the factor '(1 + 8y)' equal to zero and attempt to solve: Simplifying 1 + 8y = 0 Solving 1 + 8y = 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 + 8y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8y = 0 + -1 8y = 0 + -1 Combine like terms: 0 + -1 = -1 8y = -1 Divide each side by '8'. y = -0.125 Simplifying y = -0.125

Solution

y = {-0.125, -0.125}

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