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Simplifying y2 = 3y + 70 Reorder the terms: y2 = 70 + 3y Solving y2 = 70 + 3y Solving for variable 'y'. Reorder the terms: -70 + -3y + y2 = 70 + 3y + -70 + -3y Reorder the terms: -70 + -3y + y2 = 70 + -70 + 3y + -3y Combine like terms: 70 + -70 = 0 -70 + -3y + y2 = 0 + 3y + -3y -70 + -3y + y2 = 3y + -3y Combine like terms: 3y + -3y = 0 -70 + -3y + y2 = 0 Factor a trinomial. (-7 + -1y)(10 + -1y) = 0Subproblem 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 '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10Solution
y = {-7, 10}
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