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Simplifying 4(y2 + -14) = -25y Reorder the terms: 4(-14 + y2) = -25y (-14 * 4 + y2 * 4) = -25y (-56 + 4y2) = -25y Solving -56 + 4y2 = -25y Solving for variable 'y'. Reorder the terms: -56 + 25y + 4y2 = -25y + 25y Combine like terms: -25y + 25y = 0 -56 + 25y + 4y2 = 0 Factor a trinomial. (-8 + -1y)(7 + -4y) = 0Subproblem 1
Set the factor '(-8 + -1y)' equal to zero and attempt to solve: Simplifying -8 + -1y = 0 Solving -8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8Subproblem 2
Set the factor '(7 + -4y)' equal to zero and attempt to solve: Simplifying 7 + -4y = 0 Solving 7 + -4y = 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 + -4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 0 + -7 -4y = 0 + -7 Combine like terms: 0 + -7 = -7 -4y = -7 Divide each side by '-4'. y = 1.75 Simplifying y = 1.75Solution
y = {-8, 1.75}
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