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Simplifying -1(5a + -3)(-7a) = 0 Reorder the terms: -1(-3 + 5a)(-7a) = 0 Remove parenthesis around (-7a) -1(-3 + 5a) * -7a = 0 Reorder the terms for easier multiplication: -1 * -7a(-3 + 5a) = 0 Multiply -1 * -7 7a(-3 + 5a) = 0 (-3 * 7a + 5a * 7a) = 0 (-21a + 35a2) = 0 Solving -21a + 35a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7a'. 7a(-3 + 5a) = 0 Ignore the factor 7.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 '(-3 + 5a)' equal to zero and attempt to solve: Simplifying -3 + 5a = 0 Solving -3 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5a = 0 + 3 5a = 0 + 3 Combine like terms: 0 + 3 = 3 5a = 3 Divide each side by '5'. a = 0.6 Simplifying a = 0.6Solution
a = {0, 0.6}
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