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Simplifying (10y + -3)(3y + -10) = 0 Reorder the terms: (-3 + 10y)(3y + -10) = 0 Reorder the terms: (-3 + 10y)(-10 + 3y) = 0 Multiply (-3 + 10y) * (-10 + 3y) (-3(-10 + 3y) + 10y * (-10 + 3y)) = 0 ((-10 * -3 + 3y * -3) + 10y * (-10 + 3y)) = 0 ((30 + -9y) + 10y * (-10 + 3y)) = 0 (30 + -9y + (-10 * 10y + 3y * 10y)) = 0 (30 + -9y + (-100y + 30y2)) = 0 Combine like terms: -9y + -100y = -109y (30 + -109y + 30y2) = 0 Solving 30 + -109y + 30y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -10y)(10 + -3y) = 0Subproblem 1
Set the factor '(3 + -10y)' equal to zero and attempt to solve: Simplifying 3 + -10y = 0 Solving 3 + -10y = 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 + -10y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10y = 0 + -3 -10y = 0 + -3 Combine like terms: 0 + -3 = -3 -10y = -3 Divide each side by '-10'. y = 0.3 Simplifying y = 0.3Subproblem 2
Set the factor '(10 + -3y)' equal to zero and attempt to solve: Simplifying 10 + -3y = 0 Solving 10 + -3y = 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 + -3y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = 0 + -10 -3y = 0 + -10 Combine like terms: 0 + -10 = -10 -3y = -10 Divide each side by '-3'. y = 3.333333333 Simplifying y = 3.333333333Solution
y = {0.3, 3.333333333}
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