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Simplifying 36a2 + -4a + 63a + -7 = 0 Reorder the terms: -7 + -4a + 63a + 36a2 = 0 Combine like terms: -4a + 63a = 59a -7 + 59a + 36a2 = 0 Solving -7 + 59a + 36a2 = 0 Solving for variable 'a'. Factor a trinomial. (-7 + -4a)(1 + -9a) = 0Subproblem 1
Set the factor '(-7 + -4a)' equal to zero and attempt to solve: Simplifying -7 + -4a = 0 Solving -7 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4a = 0 + 7 -4a = 0 + 7 Combine like terms: 0 + 7 = 7 -4a = 7 Divide each side by '-4'. a = -1.75 Simplifying a = -1.75Subproblem 2
Set the factor '(1 + -9a)' equal to zero and attempt to solve: Simplifying 1 + -9a = 0 Solving 1 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9a = 0 + -1 -9a = 0 + -1 Combine like terms: 0 + -1 = -1 -9a = -1 Divide each side by '-9'. a = 0.1111111111 Simplifying a = 0.1111111111Solution
a = {-1.75, 0.1111111111}
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