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Simplifying 5(y + -8) + -7y(y + -8) = 0 Reorder the terms: 5(-8 + y) + -7y(y + -8) = 0 (-8 * 5 + y * 5) + -7y(y + -8) = 0 (-40 + 5y) + -7y(y + -8) = 0 Reorder the terms: -40 + 5y + -7y(-8 + y) = 0 -40 + 5y + (-8 * -7y + y * -7y) = 0 -40 + 5y + (56y + -7y2) = 0 Combine like terms: 5y + 56y = 61y -40 + 61y + -7y2 = 0 Solving -40 + 61y + -7y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + y)(5 + -7y) = 0Subproblem 1
Set the factor '(-8 + y)' equal to zero and attempt to solve: Simplifying -8 + y = 0 Solving -8 + y = 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 + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + y = 0 + 8 y = 0 + 8 Combine like terms: 0 + 8 = 8 y = 8 Simplifying y = 8Subproblem 2
Set the factor '(5 + -7y)' equal to zero and attempt to solve: Simplifying 5 + -7y = 0 Solving 5 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7y = 0 + -5 -7y = 0 + -5 Combine like terms: 0 + -5 = -5 -7y = -5 Divide each side by '-7'. y = 0.7142857143 Simplifying y = 0.7142857143Solution
y = {8, 0.7142857143}
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