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Simplifying (2a + 7b)(2a + 7b) = 0 Multiply (2a + 7b) * (2a + 7b) (2a * (2a + 7b) + 7b * (2a + 7b)) = 0 ((2a * 2a + 7b * 2a) + 7b * (2a + 7b)) = 0 Reorder the terms: ((14ab + 4a2) + 7b * (2a + 7b)) = 0 ((14ab + 4a2) + 7b * (2a + 7b)) = 0 (14ab + 4a2 + (2a * 7b + 7b * 7b)) = 0 (14ab + 4a2 + (14ab + 49b2)) = 0 Reorder the terms: (14ab + 14ab + 4a2 + 49b2) = 0 Combine like terms: 14ab + 14ab = 28ab (28ab + 4a2 + 49b2) = 0 Solving 28ab + 4a2 + 49b2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + 7b)(2a + 7b) = 0Subproblem 1
Set the factor '(2a + 7b)' equal to zero and attempt to solve: Simplifying 2a + 7b = 0 Solving 2a + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 2a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 2a + 0 = 0 + -7b 2a = 0 + -7b Remove the zero: 2a = -7b Divide each side by '2'. a = -3.5b Simplifying a = -3.5bSubproblem 2
Set the factor '(2a + 7b)' equal to zero and attempt to solve: Simplifying 2a + 7b = 0 Solving 2a + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 2a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 2a + 0 = 0 + -7b 2a = 0 + -7b Remove the zero: 2a = -7b Divide each side by '2'. a = -3.5b Simplifying a = -3.5bSolution
a = {-3.5b, -3.5b}
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