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Simplifying 3ax2 + -16ax + 21a2 = 0 Reorder the terms: -16ax + 3ax2 + 21a2 = 0 Solving -16ax + 3ax2 + 21a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-16x + 3x2 + 21a) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-16x + 3x2 + 21a)' equal to zero and attempt to solve: Simplifying -16x + 3x2 + 21a = 0 Reorder the terms: 21a + -16x + 3x2 = 0 Solving 21a + -16x + 3x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '16x' to each side of the equation. 21a + -16x + 16x + 3x2 = 0 + 16x Combine like terms: -16x + 16x = 0 21a + 0 + 3x2 = 0 + 16x 21a + 3x2 = 0 + 16x Remove the zero: 21a + 3x2 = 16x Add '-3x2' to each side of the equation. 21a + 3x2 + -3x2 = 16x + -3x2 Combine like terms: 3x2 + -3x2 = 0 21a + 0 = 16x + -3x2 21a = 16x + -3x2 Divide each side by '21'. a = 0.7619047619x + -0.1428571429x2 Simplifying a = 0.7619047619x + -0.1428571429x2Solution
a = {0, 0.7619047619x + -0.1428571429x2}
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