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Simplifying (4a + -3)(4a + -3) = 0 Reorder the terms: (-3 + 4a)(4a + -3) = 0 Reorder the terms: (-3 + 4a)(-3 + 4a) = 0 Multiply (-3 + 4a) * (-3 + 4a) (-3(-3 + 4a) + 4a * (-3 + 4a)) = 0 ((-3 * -3 + 4a * -3) + 4a * (-3 + 4a)) = 0 ((9 + -12a) + 4a * (-3 + 4a)) = 0 (9 + -12a + (-3 * 4a + 4a * 4a)) = 0 (9 + -12a + (-12a + 16a2)) = 0 Combine like terms: -12a + -12a = -24a (9 + -24a + 16a2) = 0 Solving 9 + -24a + 16a2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + -4a)(3 + -4a) = 0Subproblem 1
Set the factor '(3 + -4a)' equal to zero and attempt to solve: Simplifying 3 + -4a = 0 Solving 3 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4a = 0 + -3 -4a = 0 + -3 Combine like terms: 0 + -3 = -3 -4a = -3 Divide each side by '-4'. a = 0.75 Simplifying a = 0.75Subproblem 2
Set the factor '(3 + -4a)' equal to zero and attempt to solve: Simplifying 3 + -4a = 0 Solving 3 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4a = 0 + -3 -4a = 0 + -3 Combine like terms: 0 + -3 = -3 -4a = -3 Divide each side by '-4'. a = 0.75 Simplifying a = 0.75Solution
a = {0.75, 0.75}
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