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Simplifying 15x2 + -49x + 26 = 0 Reorder the terms: 26 + -49x + 15x2 = 0 Solving 26 + -49x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(13 + -5x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(13 + -5x)' equal to zero and attempt to solve: Simplifying 13 + -5x = 0 Solving 13 + -5x = 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 + -5x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 0 + -13 -5x = 0 + -13 Combine like terms: 0 + -13 = -13 -5x = -13 Divide each side by '-5'. x = 2.6 Simplifying x = 2.6Solution
x = {0.6666666667, 2.6}
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