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Simplifying 20y2 + 4y + -7 = 0 Reorder the terms: -7 + 4y + 20y2 = 0 Solving -7 + 4y + 20y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -10y)(1 + -2y) = 0Subproblem 1
Set the factor '(-7 + -10y)' equal to zero and attempt to solve: Simplifying -7 + -10y = 0 Solving -7 + -10y = 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 + -10y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -10y = 0 + 7 -10y = 0 + 7 Combine like terms: 0 + 7 = 7 -10y = 7 Divide each side by '-10'. y = -0.7 Simplifying y = -0.7Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-0.7, 0.5}
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