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Simplifying 14x2 + -23ax + 3a2 = 0 Reorder the terms: -23ax + 3a2 + 14x2 = 0 Solving -23ax + 3a2 + 14x2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -7x)(3a + -2x) = 0Subproblem 1
Set the factor '(a + -7x)' equal to zero and attempt to solve: Simplifying a + -7x = 0 Solving a + -7x = 0 Move all terms containing a to the left, all other terms to the right. Add '7x' to each side of the equation. a + -7x + 7x = 0 + 7x Combine like terms: -7x + 7x = 0 a + 0 = 0 + 7x a = 0 + 7x Remove the zero: a = 7x Simplifying a = 7xSubproblem 2
Set the factor '(3a + -2x)' equal to zero and attempt to solve: Simplifying 3a + -2x = 0 Solving 3a + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '2x' to each side of the equation. 3a + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 3a + 0 = 0 + 2x 3a = 0 + 2x Remove the zero: 3a = 2x Divide each side by '3'. a = 0.6666666667x Simplifying a = 0.6666666667xSolution
a = {7x, 0.6666666667x}
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