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Simplifying (13 + -5x)(13 + -5x) = 0 Multiply (13 + -5x) * (13 + -5x) (13(13 + -5x) + -5x * (13 + -5x)) = 0 ((13 * 13 + -5x * 13) + -5x * (13 + -5x)) = 0 ((169 + -65x) + -5x * (13 + -5x)) = 0 (169 + -65x + (13 * -5x + -5x * -5x)) = 0 (169 + -65x + (-65x + 25x2)) = 0 Combine like terms: -65x + -65x = -130x (169 + -130x + 25x2) = 0 Solving 169 + -130x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + -5x)(13 + -5x) = 0Subproblem 1
Set the factor '(13 + -5x)' equal to zero and attempt to solve: Simplifying 13 + -5x = 0 Solving 13 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 0 + -13 -5x = 0 + -13 Combine like terms: 0 + -13 = -13 -5x = -13 Divide each side by '-5'. x = 2.6 Simplifying x = 2.6Subproblem 2
Set the factor '(13 + -5x)' equal to zero and attempt to solve: Simplifying 13 + -5x = 0 Solving 13 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 0 + -13 -5x = 0 + -13 Combine like terms: 0 + -13 = -13 -5x = -13 Divide each side by '-5'. x = 2.6 Simplifying x = 2.6Solution
x = {2.6, 2.6}
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