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Simplifying 22y2 + -184y + -90 = -6y2 + -6 Reorder the terms: -90 + -184y + 22y2 = -6y2 + -6 Reorder the terms: -90 + -184y + 22y2 = -6 + -6y2 Solving -90 + -184y + 22y2 = -6 + -6y2 Solving for variable 'y'. Reorder the terms: -90 + 6 + -184y + 22y2 + 6y2 = -6 + -6y2 + 6 + 6y2 Combine like terms: -90 + 6 = -84 -84 + -184y + 22y2 + 6y2 = -6 + -6y2 + 6 + 6y2 Combine like terms: 22y2 + 6y2 = 28y2 -84 + -184y + 28y2 = -6 + -6y2 + 6 + 6y2 Reorder the terms: -84 + -184y + 28y2 = -6 + 6 + -6y2 + 6y2 Combine like terms: -6 + 6 = 0 -84 + -184y + 28y2 = 0 + -6y2 + 6y2 -84 + -184y + 28y2 = -6y2 + 6y2 Combine like terms: -6y2 + 6y2 = 0 -84 + -184y + 28y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-21 + -46y + 7y2) = 0 Factor a trinomial. 4((-3 + -7y)(7 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -7y)' equal to zero and attempt to solve: Simplifying -3 + -7y = 0 Solving -3 + -7y = 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 + -7y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7y = 0 + 3 -7y = 0 + 3 Combine like terms: 0 + 3 = 3 -7y = 3 Divide each side by '-7'. y = -0.4285714286 Simplifying y = -0.4285714286Subproblem 2
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 = 7Solution
y = {-0.4285714286, 7}
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