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Simplifying 3x2 + 26 = 4x2 + 11x Reorder the terms: 26 + 3x2 = 4x2 + 11x Reorder the terms: 26 + 3x2 = 11x + 4x2 Solving 26 + 3x2 = 11x + 4x2 Solving for variable 'x'. Reorder the terms: 26 + -11x + 3x2 + -4x2 = 11x + 4x2 + -11x + -4x2 Combine like terms: 3x2 + -4x2 = -1x2 26 + -11x + -1x2 = 11x + 4x2 + -11x + -4x2 Reorder the terms: 26 + -11x + -1x2 = 11x + -11x + 4x2 + -4x2 Combine like terms: 11x + -11x = 0 26 + -11x + -1x2 = 0 + 4x2 + -4x2 26 + -11x + -1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 26 + -11x + -1x2 = 0 Factor a trinomial. (2 + -1x)(13 + x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 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 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {2, -13}
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