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Simplifying 4(y2 + -60) + 49y = 0 Reorder the terms: 4(-60 + y2) + 49y = 0 (-60 * 4 + y2 * 4) + 49y = 0 (-240 + 4y2) + 49y = 0 Reorder the terms: -240 + 49y + 4y2 = 0 Solving -240 + 49y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-16 + -1y)(15 + -4y) = 0Subproblem 1
Set the factor '(-16 + -1y)' equal to zero and attempt to solve: Simplifying -16 + -1y = 0 Solving -16 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1y = 0 + 16 -1y = 0 + 16 Combine like terms: 0 + 16 = 16 -1y = 16 Divide each side by '-1'. y = -16 Simplifying y = -16Subproblem 2
Set the factor '(15 + -4y)' equal to zero and attempt to solve: Simplifying 15 + -4y = 0 Solving 15 + -4y = 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 + -4y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4y = 0 + -15 -4y = 0 + -15 Combine like terms: 0 + -15 = -15 -4y = -15 Divide each side by '-4'. y = 3.75 Simplifying y = 3.75Solution
y = {-16, 3.75}
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