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Simplifying (10y5) + -1(15y4) + -1(25y3) = 0 Remove parenthesis around (15y4) (10y5) + -1 * 15y4 + -1(25y3) = 0 Multiply -1 * 15 (10y5) + -15y4 + -1(25y3) = 0 Remove parenthesis around (25y3) (10y5) + -15y4 + -1 * 25y3 = 0 Multiply -1 * 25 (10y5) + -15y4 + -25y3 = 0 Reorder the terms: -25y3 + -15y4 + (10y5) = 0 Solving -25y3 + -15y4 + (10y5) = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y3'. 5y3(-5 + -3y + (2y2)) = 0 Factor a trinomial. 5y3((-1 + -1y)(5 + -2y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
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 3
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {-1, 2.5}
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