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Simplifying (7x2 + -4x + 24) + (2x2 + 9x + -50) = 0 Reorder the terms: (24 + -4x + 7x2) + (2x2 + 9x + -50) = 0 Remove parenthesis around (24 + -4x + 7x2) 24 + -4x + 7x2 + (2x2 + 9x + -50) = 0 Reorder the terms: 24 + -4x + 7x2 + (-50 + 9x + 2x2) = 0 Remove parenthesis around (-50 + 9x + 2x2) 24 + -4x + 7x2 + -50 + 9x + 2x2 = 0 Reorder the terms: 24 + -50 + -4x + 9x + 7x2 + 2x2 = 0 Combine like terms: 24 + -50 = -26 -26 + -4x + 9x + 7x2 + 2x2 = 0 Combine like terms: -4x + 9x = 5x -26 + 5x + 7x2 + 2x2 = 0 Combine like terms: 7x2 + 2x2 = 9x2 -26 + 5x + 9x2 = 0 Solving -26 + 5x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(13 + -9x) = 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 + -9x)' equal to zero and attempt to solve: Simplifying 13 + -9x = 0 Solving 13 + -9x = 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 + -9x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = 0 + -13 -9x = 0 + -13 Combine like terms: 0 + -13 = -13 -9x = -13 Divide each side by '-9'. x = 1.444444444 Simplifying x = 1.444444444Solution
x = {-2, 1.444444444}
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