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Simplifying x2 + 2ax + -35a2 = 0 Reorder the terms: 2ax + -35a2 + x2 = 0 Solving 2ax + -35a2 + x2 = 0 Solving for variable 'a'. Factor a trinomial. (-7a + -1x)(5a + -1x) = 0Subproblem 1
Set the factor '(-7a + -1x)' equal to zero and attempt to solve: Simplifying -7a + -1x = 0 Solving -7a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. -7a + -1x + x = 0 + x Combine like terms: -1x + x = 0 -7a + 0 = 0 + x -7a = 0 + x Remove the zero: -7a = x Divide each side by '-7'. a = -0.1428571429x Simplifying a = -0.1428571429xSubproblem 2
Set the factor '(5a + -1x)' equal to zero and attempt to solve: Simplifying 5a + -1x = 0 Solving 5a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. 5a + -1x + x = 0 + x Combine like terms: -1x + x = 0 5a + 0 = 0 + x 5a = 0 + x Remove the zero: 5a = x Divide each side by '5'. a = 0.2x Simplifying a = 0.2xSolution
a = {-0.1428571429x, 0.2x}
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