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Simplifying 4a(2a + -3y + -7) = 0 Reorder the terms: 4a(-7 + 2a + -3y) = 0 (-7 * 4a + 2a * 4a + -3y * 4a) = 0 Reorder the terms: (-28a + -12ay + 8a2) = 0 (-28a + -12ay + 8a2) = 0 Solving -28a + -12ay + 8a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-7 + -3y + 2a) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-7 + -3y + 2a)' equal to zero and attempt to solve: Simplifying -7 + -3y + 2a = 0 Reorder the terms: -7 + 2a + -3y = 0 Solving -7 + 2a + -3y = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2a + 7 + -3y = 0 + 7 Reorder the terms: -7 + 7 + 2a + -3y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2a + -3y = 0 + 7 2a + -3y = 0 + 7 Combine like terms: 0 + 7 = 7 2a + -3y = 7 Add '3y' to each side of the equation. 2a + -3y + 3y = 7 + 3y Combine like terms: -3y + 3y = 0 2a + 0 = 7 + 3y 2a = 7 + 3y Divide each side by '2'. a = 3.5 + 1.5y Simplifying a = 3.5 + 1.5ySolution
a = {0, 3.5 + 1.5y}
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