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Simplifying 2x2 + -5ax + -7a2 = 0 Reorder the terms: -5ax + -7a2 + 2x2 = 0 Solving -5ax + -7a2 + 2x2 = 0 Solving for variable 'a'. Factor a trinomial. (-1a + -1x)(7a + -2x) = 0Subproblem 1
Set the factor '(-1a + -1x)' equal to zero and attempt to solve: Simplifying -1a + -1x = 0 Solving -1a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. -1a + -1x + x = 0 + x Combine like terms: -1x + x = 0 -1a + 0 = 0 + x -1a = 0 + x Remove the zero: -1a = x Divide each side by '-1'. a = -1x Simplifying a = -1xSubproblem 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 = {-1x, 0.2857142857x}
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