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Simplifying 7a2 + -15 = -32a Reorder the terms: -15 + 7a2 = -32a Solving -15 + 7a2 = -32a Solving for variable 'a'. Reorder the terms: -15 + 32a + 7a2 = -32a + 32a Combine like terms: -32a + 32a = 0 -15 + 32a + 7a2 = 0 Factor a trinomial. (-5 + -1a)(3 + -7a) = 0Subproblem 1
Set the factor '(-5 + -1a)' equal to zero and attempt to solve: Simplifying -5 + -1a = 0 Solving -5 + -1a = 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 + -1a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = 0 + 5 -1a = 0 + 5 Combine like terms: 0 + 5 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5Subproblem 2
Set the factor '(3 + -7a)' equal to zero and attempt to solve: Simplifying 3 + -7a = 0 Solving 3 + -7a = 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 + -7a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7a = 0 + -3 -7a = 0 + -3 Combine like terms: 0 + -3 = -3 -7a = -3 Divide each side by '-7'. a = 0.4285714286 Simplifying a = 0.4285714286Solution
a = {-5, 0.4285714286}
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