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Simplifying 6y2 + -142y + 700 = 0 Reorder the terms: 700 + -142y + 6y2 = 0 Solving 700 + -142y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(350 + -71y + 3y2) = 0 Factor a trinomial. 2((7 + -1y)(50 + -3y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 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 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Subproblem 2
Set the factor '(50 + -3y)' equal to zero and attempt to solve: Simplifying 50 + -3y = 0 Solving 50 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -3y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -3y = 0 + -50 -3y = 0 + -50 Combine like terms: 0 + -50 = -50 -3y = -50 Divide each side by '-3'. y = 16.66666667 Simplifying y = 16.66666667Solution
y = {7, 16.66666667}
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