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Simplifying (2x + -5)(2x + -5) = 0 Reorder the terms: (-5 + 2x)(2x + -5) = 0 Reorder the terms: (-5 + 2x)(-5 + 2x) = 0 Multiply (-5 + 2x) * (-5 + 2x) (-5(-5 + 2x) + 2x * (-5 + 2x)) = 0 ((-5 * -5 + 2x * -5) + 2x * (-5 + 2x)) = 0 ((25 + -10x) + 2x * (-5 + 2x)) = 0 (25 + -10x + (-5 * 2x + 2x * 2x)) = 0 (25 + -10x + (-10x + 4x2)) = 0 Combine like terms: -10x + -10x = -20x (25 + -20x + 4x2) = 0 Solving 25 + -20x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -2x)(5 + -2x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {2.5, 2.5}
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