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Simplifying 5(y2 + -42) + 61y = 0 Reorder the terms: 5(-42 + y2) + 61y = 0 (-42 * 5 + y2 * 5) + 61y = 0 (-210 + 5y2) + 61y = 0 Reorder the terms: -210 + 61y + 5y2 = 0 Solving -210 + 61y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-15 + -1y)(14 + -5y) = 0Subproblem 1
Set the factor '(-15 + -1y)' equal to zero and attempt to solve: Simplifying -15 + -1y = 0 Solving -15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 0 + 15 -1y = 0 + 15 Combine like terms: 0 + 15 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15Subproblem 2
Set the factor '(14 + -5y)' equal to zero and attempt to solve: Simplifying 14 + -5y = 0 Solving 14 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5y = 0 + -14 -5y = 0 + -14 Combine like terms: 0 + -14 = -14 -5y = -14 Divide each side by '-5'. y = 2.8 Simplifying y = 2.8Solution
y = {-15, 2.8}
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