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Simplifying 130a = 63a2 + 63 Reorder the terms: 130a = 63 + 63a2 Solving 130a = 63 + 63a2 Solving for variable 'a'. Reorder the terms: -63 + 130a + -63a2 = 63 + 63a2 + -63 + -63a2 Reorder the terms: -63 + 130a + -63a2 = 63 + -63 + 63a2 + -63a2 Combine like terms: 63 + -63 = 0 -63 + 130a + -63a2 = 0 + 63a2 + -63a2 -63 + 130a + -63a2 = 63a2 + -63a2 Combine like terms: 63a2 + -63a2 = 0 -63 + 130a + -63a2 = 0 Factor a trinomial. (-9 + 7a)(7 + -9a) = 0Subproblem 1
Set the factor '(-9 + 7a)' equal to zero and attempt to solve: Simplifying -9 + 7a = 0 Solving -9 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7a = 0 + 9 7a = 0 + 9 Combine like terms: 0 + 9 = 9 7a = 9 Divide each side by '7'. a = 1.285714286 Simplifying a = 1.285714286Subproblem 2
Set the factor '(7 + -9a)' equal to zero and attempt to solve: Simplifying 7 + -9a = 0 Solving 7 + -9a = 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 + -9a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9a = 0 + -7 -9a = 0 + -7 Combine like terms: 0 + -7 = -7 -9a = -7 Divide each side by '-9'. a = 0.7777777778 Simplifying a = 0.7777777778Solution
a = {1.285714286, 0.7777777778}
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