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Simplifying 21x2 + 11x + -17 = -5x + -1 Reorder the terms: -17 + 11x + 21x2 = -5x + -1 Reorder the terms: -17 + 11x + 21x2 = -1 + -5x Solving -17 + 11x + 21x2 = -1 + -5x Solving for variable 'x'. Reorder the terms: -17 + 1 + 11x + 5x + 21x2 = -1 + -5x + 1 + 5x Combine like terms: -17 + 1 = -16 -16 + 11x + 5x + 21x2 = -1 + -5x + 1 + 5x Combine like terms: 11x + 5x = 16x -16 + 16x + 21x2 = -1 + -5x + 1 + 5x Reorder the terms: -16 + 16x + 21x2 = -1 + 1 + -5x + 5x Combine like terms: -1 + 1 = 0 -16 + 16x + 21x2 = 0 + -5x + 5x -16 + 16x + 21x2 = -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 16x + 21x2 = 0 Factor a trinomial. (-4 + -3x)(4 + -7x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {-1.333333333, 0.5714285714}
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