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Simplifying 15x4a + 25x2a2 = 0 Solving 15ax4 + 25a2x2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5ax2'. 5ax2(3x2 + 5a) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'ax2' equal to zero and attempt to solve: Simplifying ax2 = 0 Solving ax2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3x2 + 5a)' equal to zero and attempt to solve: Simplifying 3x2 + 5a = 0 Reorder the terms: 5a + 3x2 = 0 Solving 5a + 3x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x2' to each side of the equation. 5a + 3x2 + -3x2 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 5a + 0 = 0 + -3x2 5a = 0 + -3x2 Remove the zero: 5a = -3x2 Divide each side by '5'. a = -0.6x2 Simplifying a = -0.6x2Solution
a = {-0.6x2}
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