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Simplifying a(1 + 21a) + -10 = 0 (1 * a + 21a * a) + -10 = 0 (1a + 21a2) + -10 = 0 Reorder the terms: -10 + 1a + 21a2 = 0 Solving -10 + 1a + 21a2 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -7a)(2 + -3a) = 0Subproblem 1
Set the factor '(-5 + -7a)' equal to zero and attempt to solve: Simplifying -5 + -7a = 0 Solving -5 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7a = 0 + 5 -7a = 0 + 5 Combine like terms: 0 + 5 = 5 -7a = 5 Divide each side by '-7'. a = -0.7142857143 Simplifying a = -0.7142857143Subproblem 2
Set the factor '(2 + -3a)' equal to zero and attempt to solve: Simplifying 2 + -3a = 0 Solving 2 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 0 + -2 -3a = 0 + -2 Combine like terms: 0 + -2 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667Solution
a = {-0.7142857143, 0.6666666667}
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