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Simplifying (13 + -4y) + y2 = 13 Remove parenthesis around (13 + -4y) 13 + -4y + y2 = 13 Add '-13' to each side of the equation. 13 + -4y + -13 + y2 = 13 + -13 Reorder the terms: 13 + -13 + -4y + y2 = 13 + -13 Combine like terms: 13 + -13 = 0 0 + -4y + y2 = 13 + -13 -4y + y2 = 13 + -13 Combine like terms: 13 + -13 = 0 -4y + y2 = 0 Solving -4y + y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-4 + y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4Solution
y = {0, 4}
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