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Simplifying 13x2 + -136x + 256 = 0 Reorder the terms: 256 + -136x + 13x2 = 0 Solving 256 + -136x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (32 + -13x)(8 + -1x) = 0Subproblem 1
Set the factor '(32 + -13x)' equal to zero and attempt to solve: Simplifying 32 + -13x = 0 Solving 32 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -13x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -13x = 0 + -32 -13x = 0 + -32 Combine like terms: 0 + -32 = -32 -13x = -32 Divide each side by '-13'. x = 2.461538462 Simplifying x = 2.461538462Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {2.461538462, 8}
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