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Simplifying 2x2 + -11ax + 14a2 = 0 Reorder the terms: -11ax + 14a2 + 2x2 = 0 Solving -11ax + 14a2 + 2x2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + -1x)(7a + -2x) = 0Subproblem 1
Set the factor '(2a + -1x)' equal to zero and attempt to solve: Simplifying 2a + -1x = 0 Solving 2a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. 2a + -1x + x = 0 + x Combine like terms: -1x + x = 0 2a + 0 = 0 + x 2a = 0 + x Remove the zero: 2a = x Divide each side by '2'. a = 0.5x Simplifying a = 0.5xSubproblem 2
Set the factor '(7a + -2x)' equal to zero and attempt to solve: Simplifying 7a + -2x = 0 Solving 7a + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '2x' to each side of the equation. 7a + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 7a + 0 = 0 + 2x 7a = 0 + 2x Remove the zero: 7a = 2x Divide each side by '7'. a = 0.2857142857x Simplifying a = 0.2857142857xSolution
a = {0.5x, 0.2857142857x}
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