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Simplifying y(10y + 40) = 210 Reorder the terms: y(40 + 10y) = 210 (40 * y + 10y * y) = 210 (40y + 10y2) = 210 Solving 40y + 10y2 = 210 Solving for variable 'y'. Reorder the terms: -210 + 40y + 10y2 = 210 + -210 Combine like terms: 210 + -210 = 0 -210 + 40y + 10y2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-21 + 4y + y2) = 0 Factor a trinomial. 10((-7 + -1y)(3 + -1y)) = 0 Ignore the factor 10.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 '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-7, 3}
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