-y=4y^2-3

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Solution for -y=4y^2-3 equation:


Simplifying
-1y = 4y2 + -3

Reorder the terms:
-1y = -3 + 4y2

Solving
-1y = -3 + 4y2

Solving for variable 'y'.

Reorder the terms:
3 + -1y + -4y2 = -3 + 4y2 + 3 + -4y2

Reorder the terms:
3 + -1y + -4y2 = -3 + 3 + 4y2 + -4y2

Combine like terms: -3 + 3 = 0
3 + -1y + -4y2 = 0 + 4y2 + -4y2
3 + -1y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
3 + -1y + -4y2 = 0

Factor a trinomial.
(3 + -4y)(1 + y) = 0

Subproblem 1

Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 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 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75

Subproblem 2

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

Solution

y = {0.75, -1}

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