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Simplifying (19x2 + -6x + 4) + (5x2 + -1x + -9) = 0 Reorder the terms: (4 + -6x + 19x2) + (5x2 + -1x + -9) = 0 Remove parenthesis around (4 + -6x + 19x2) 4 + -6x + 19x2 + (5x2 + -1x + -9) = 0 Reorder the terms: 4 + -6x + 19x2 + (-9 + -1x + 5x2) = 0 Remove parenthesis around (-9 + -1x + 5x2) 4 + -6x + 19x2 + -9 + -1x + 5x2 = 0 Reorder the terms: 4 + -9 + -6x + -1x + 19x2 + 5x2 = 0 Combine like terms: 4 + -9 = -5 -5 + -6x + -1x + 19x2 + 5x2 = 0 Combine like terms: -6x + -1x = -7x -5 + -7x + 19x2 + 5x2 = 0 Combine like terms: 19x2 + 5x2 = 24x2 -5 + -7x + 24x2 = 0 Solving -5 + -7x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(5 + -8x) = 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 '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Solution
x = {-0.3333333333, 0.625}
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