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Simplifying 10a2 + -20ab + -8ad + -25ab = 0 Reorder the terms: -20ab + -25ab + -8ad + 10a2 = 0 Combine like terms: -20ab + -25ab = -45ab -45ab + -8ad + 10a2 = 0 Solving -45ab + -8ad + 10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-45b + -8d + 10a) = 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 '(-45b + -8d + 10a)' equal to zero and attempt to solve: Simplifying -45b + -8d + 10a = 0 Reorder the terms: 10a + -45b + -8d = 0 Solving 10a + -45b + -8d = 0 Move all terms containing a to the left, all other terms to the right. Add '45b' to each side of the equation. 10a + -45b + 45b + -8d = 0 + 45b Combine like terms: -45b + 45b = 0 10a + 0 + -8d = 0 + 45b 10a + -8d = 0 + 45b Remove the zero: 10a + -8d = 45b Add '8d' to each side of the equation. 10a + -8d + 8d = 45b + 8d Combine like terms: -8d + 8d = 0 10a + 0 = 45b + 8d 10a = 45b + 8d Divide each side by '10'. a = 4.5b + 0.8d Simplifying a = 4.5b + 0.8dSolution
a = {0, 4.5b + 0.8d}
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