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Simplifying (2a + -5b)(2a + -5b) = 0 Multiply (2a + -5b) * (2a + -5b) (2a * (2a + -5b) + -5b * (2a + -5b)) = 0 ((2a * 2a + -5b * 2a) + -5b * (2a + -5b)) = 0 Reorder the terms: ((-10ab + 4a2) + -5b * (2a + -5b)) = 0 ((-10ab + 4a2) + -5b * (2a + -5b)) = 0 (-10ab + 4a2 + (2a * -5b + -5b * -5b)) = 0 (-10ab + 4a2 + (-10ab + 25b2)) = 0 Reorder the terms: (-10ab + -10ab + 4a2 + 25b2) = 0 Combine like terms: -10ab + -10ab = -20ab (-20ab + 4a2 + 25b2) = 0 Solving -20ab + 4a2 + 25b2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + -5b)(2a + -5b) = 0Subproblem 1
Set the factor '(2a + -5b)' equal to zero and attempt to solve: Simplifying 2a + -5b = 0 Solving 2a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 2a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 2a + 0 = 0 + 5b 2a = 0 + 5b Remove the zero: 2a = 5b Divide each side by '2'. a = 2.5b Simplifying a = 2.5bSubproblem 2
Set the factor '(2a + -5b)' equal to zero and attempt to solve: Simplifying 2a + -5b = 0 Solving 2a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 2a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 2a + 0 = 0 + 5b 2a = 0 + 5b Remove the zero: 2a = 5b Divide each side by '2'. a = 2.5b Simplifying a = 2.5bSolution
a = {2.5b, 2.5b}
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