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Simplifying 25y2 + 99y + -4 = 0 Reorder the terms: -4 + 99y + 25y2 = 0 Solving -4 + 99y + 25y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -1y)(1 + -25y) = 0Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 2
Set the factor '(1 + -25y)' equal to zero and attempt to solve: Simplifying 1 + -25y = 0 Solving 1 + -25y = 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 + -25y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -25y = 0 + -1 -25y = 0 + -1 Combine like terms: 0 + -1 = -1 -25y = -1 Divide each side by '-25'. y = 0.04 Simplifying y = 0.04Solution
y = {-4, 0.04}
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