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Simplifying 0 = 21x2 + -16x + -16 Reorder the terms: 0 = -16 + -16x + 21x2 Solving 0 = -16 + -16x + 21x2 Solving for variable 'x'. Combine like terms: 0 + 16 = 16 16 + 16x + -21x2 = -16 + -16x + 21x2 + 16 + 16x + -21x2 Reorder the terms: 16 + 16x + -21x2 = -16 + 16 + -16x + 16x + 21x2 + -21x2 Combine like terms: -16 + 16 = 0 16 + 16x + -21x2 = 0 + -16x + 16x + 21x2 + -21x2 16 + 16x + -21x2 = -16x + 16x + 21x2 + -21x2 Combine like terms: -16x + 16x = 0 16 + 16x + -21x2 = 0 + 21x2 + -21x2 16 + 16x + -21x2 = 21x2 + -21x2 Combine like terms: 21x2 + -21x2 = 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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