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Simplifying x4 + 7ax2 + -60a2 = 0 Reorder the terms: 7ax2 + -60a2 + x4 = 0 Solving 7ax2 + -60a2 + x4 = 0 Solving for variable 'a'. Factor a trinomial. (-12a + -1x2)(5a + -1x2) = 0Subproblem 1
Set the factor '(-12a + -1x2)' equal to zero and attempt to solve: Simplifying -12a + -1x2 = 0 Solving -12a + -1x2 = 0 Move all terms containing a to the left, all other terms to the right. Add 'x2' to each side of the equation. -12a + -1x2 + x2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 -12a + 0 = 0 + x2 -12a = 0 + x2 Remove the zero: -12a = x2 Divide each side by '-12'. a = -0.08333333333x2 Simplifying a = -0.08333333333x2Subproblem 2
Set the factor '(5a + -1x2)' equal to zero and attempt to solve: Simplifying 5a + -1x2 = 0 Solving 5a + -1x2 = 0 Move all terms containing a to the left, all other terms to the right. Add 'x2' to each side of the equation. 5a + -1x2 + x2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 5a + 0 = 0 + x2 5a = 0 + x2 Remove the zero: 5a = x2 Divide each side by '5'. a = 0.2x2 Simplifying a = 0.2x2Solution
a = {-0.08333333333x2, 0.2x2}
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