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Simplifying 21x2 = -31x + -4 Reorder the terms: 21x2 = -4 + -31x Solving 21x2 = -4 + -31x Solving for variable 'x'. Reorder the terms: 4 + 31x + 21x2 = -4 + -31x + 4 + 31x Reorder the terms: 4 + 31x + 21x2 = -4 + 4 + -31x + 31x Combine like terms: -4 + 4 = 0 4 + 31x + 21x2 = 0 + -31x + 31x 4 + 31x + 21x2 = -31x + 31x Combine like terms: -31x + 31x = 0 4 + 31x + 21x2 = 0 Factor a trinomial. (4 + 3x)(1 + 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 '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Solution
x = {-1.333333333, -0.1428571429}
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