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Simplifying 100a2 + 160ag + 64g2 = 0 Reorder the terms: 160ag + 100a2 + 64g2 = 0 Solving 160ag + 100a2 + 64g2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(40ag + 25a2 + 16g2) = 0 Factor a trinomial. 4((5a + 4g)(5a + 4g)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5a + 4g)' equal to zero and attempt to solve: Simplifying 5a + 4g = 0 Solving 5a + 4g = 0 Move all terms containing a to the left, all other terms to the right. Add '-4g' to each side of the equation. 5a + 4g + -4g = 0 + -4g Combine like terms: 4g + -4g = 0 5a + 0 = 0 + -4g 5a = 0 + -4g Remove the zero: 5a = -4g Divide each side by '5'. a = -0.8g Simplifying a = -0.8gSubproblem 2
Set the factor '(5a + 4g)' equal to zero and attempt to solve: Simplifying 5a + 4g = 0 Solving 5a + 4g = 0 Move all terms containing a to the left, all other terms to the right. Add '-4g' to each side of the equation. 5a + 4g + -4g = 0 + -4g Combine like terms: 4g + -4g = 0 5a + 0 = 0 + -4g 5a = 0 + -4g Remove the zero: 5a = -4g Divide each side by '5'. a = -0.8g Simplifying a = -0.8gSolution
a = {-0.8g, -0.8g}
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