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Simplifying 10y2 + 3y + -7 = 0 Reorder the terms: -7 + 3y + 10y2 = 0 Solving -7 + 3y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(7 + -10y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 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 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
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 = 0.7Solution
y = {-1, 0.7}
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