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Simplifying 7y2 + -3y + -10 = 0 Reorder the terms: -10 + -3y + 7y2 = 0 Solving -10 + -3y + 7y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(10 + -7y) = 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 '(10 + -7y)' equal to zero and attempt to solve: Simplifying 10 + -7y = 0 Solving 10 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7y = 0 + -10 -7y = 0 + -10 Combine like terms: 0 + -10 = -10 -7y = -10 Divide each side by '-7'. y = 1.428571429 Simplifying y = 1.428571429Solution
y = {-1, 1.428571429}
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