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Simplifying (9a)(9a) + -7a + 4a + -1(5a)(5a) = 0 Remove parenthesis around (9a) 9a(9a) + -7a + 4a + -1(5a)(5a) = 0 Remove parenthesis around (9a) 9a * 9a + -7a + 4a + -1(5a)(5a) = 0 Reorder the terms for easier multiplication: 9 * 9a * a + -7a + 4a + -1(5a)(5a) = 0 Multiply 9 * 9 81a * a + -7a + 4a + -1(5a)(5a) = 0 Multiply a * a 81a2 + -7a + 4a + -1(5a)(5a) = 0 Remove parenthesis around (5a) 81a2 + -7a + 4a + -1 * 5a(5a) = 0 Remove parenthesis around (5a) 81a2 + -7a + 4a + -1 * 5a * 5a = 0 Reorder the terms for easier multiplication: 81a2 + -7a + 4a + -1 * 5 * 5a * a = 0 Multiply -1 * 5 81a2 + -7a + 4a + -5 * 5a * a = 0 Multiply -5 * 5 81a2 + -7a + 4a + -25a * a = 0 Multiply a * a 81a2 + -7a + 4a + -25a2 = 0 Reorder the terms: -7a + 4a + 81a2 + -25a2 = 0 Combine like terms: -7a + 4a = -3a -3a + 81a2 + -25a2 = 0 Combine like terms: 81a2 + -25a2 = 56a2 -3a + 56a2 = 0 Solving -3a + 56a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-3 + 56a) = 0Subproblem 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 + 56a)' equal to zero and attempt to solve: Simplifying -3 + 56a = 0 Solving -3 + 56a = 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 + 56a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 56a = 0 + 3 56a = 0 + 3 Combine like terms: 0 + 3 = 3 56a = 3 Divide each side by '56'. a = 0.05357142857 Simplifying a = 0.05357142857Solution
a = {0, 0.05357142857}
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