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Simplifying 169x2 + -260x + 100 = 0 Reorder the terms: 100 + -260x + 169x2 = 0 Solving 100 + -260x + 169x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -13x)(10 + -13x) = 0Subproblem 1
Set the factor '(10 + -13x)' equal to zero and attempt to solve: Simplifying 10 + -13x = 0 Solving 10 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -13x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = 0 + -10 -13x = 0 + -10 Combine like terms: 0 + -10 = -10 -13x = -10 Divide each side by '-13'. x = 0.7692307692 Simplifying x = 0.7692307692Subproblem 2
Set the factor '(10 + -13x)' equal to zero and attempt to solve: Simplifying 10 + -13x = 0 Solving 10 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -13x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = 0 + -10 -13x = 0 + -10 Combine like terms: 0 + -10 = -10 -13x = -10 Divide each side by '-13'. x = 0.7692307692 Simplifying x = 0.7692307692Solution
x = {0.7692307692, 0.7692307692}
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