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Simplifying (4x2) + -1(52x) + 169 = 0 Remove parenthesis around (52x) (4x2) + -1 * 52x + 169 = 0 Multiply -1 * 52 (4x2) + -52x + 169 = 0 Reorder the terms: 169 + -52x + (4x2) = 0 Solving 169 + -52x + (4x2) = 0 Solving for variable 'x'. Factor a trinomial. (13 + -2x)(13 + -2x) = 0Subproblem 1
Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 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 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5Subproblem 2
Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 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 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5Solution
x = {6.5, 6.5}
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