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Simplifying 9x2 + -42x + 49 = 36 Reorder the terms: 49 + -42x + 9x2 = 36 Solving 49 + -42x + 9x2 = 36 Solving for variable 'x'. Reorder the terms: 49 + -36 + -42x + 9x2 = 36 + -36 Combine like terms: 49 + -36 = 13 13 + -42x + 9x2 = 36 + -36 Combine like terms: 36 + -36 = 0 13 + -42x + 9x2 = 0 Factor a trinomial. (1 + -3x)(13 + -3x) = 0Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
Set the factor '(13 + -3x)' equal to zero and attempt to solve: Simplifying 13 + -3x = 0 Solving 13 + -3x = 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 + -3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 0 + -13 -3x = 0 + -13 Combine like terms: 0 + -13 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333Solution
x = {0.3333333333, 4.333333333}
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