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Simplifying 7a2 + -10 = 9a Reorder the terms: -10 + 7a2 = 9a Solving -10 + 7a2 = 9a Solving for variable 'a'. Reorder the terms: -10 + -9a + 7a2 = 9a + -9a Combine like terms: 9a + -9a = 0 -10 + -9a + 7a2 = 0 Factor a trinomial. (-5 + -7a)(2 + -1a) = 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 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 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 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Solution
a = {-0.7142857143, 2}
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