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Simplifying 289x2 + -680x + 400 = 0 Reorder the terms: 400 + -680x + 289x2 = 0 Solving 400 + -680x + 289x2 = 0 Solving for variable 'x'. Factor a trinomial. (20 + -17x)(20 + -17x) = 0Subproblem 1
Set the factor '(20 + -17x)' equal to zero and attempt to solve: Simplifying 20 + -17x = 0 Solving 20 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -17x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -17x = 0 + -20 -17x = 0 + -20 Combine like terms: 0 + -20 = -20 -17x = -20 Divide each side by '-17'. x = 1.176470588 Simplifying x = 1.176470588Subproblem 2
Set the factor '(20 + -17x)' equal to zero and attempt to solve: Simplifying 20 + -17x = 0 Solving 20 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -17x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -17x = 0 + -20 -17x = 0 + -20 Combine like terms: 0 + -20 = -20 -17x = -20 Divide each side by '-17'. x = 1.176470588 Simplifying x = 1.176470588Solution
x = {1.176470588, 1.176470588}
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