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Simplifying 0 = 21x2 + 14x + -7 Reorder the terms: 0 = -7 + 14x + 21x2 Solving 0 = -7 + 14x + 21x2 Solving for variable 'x'. Combine like terms: 0 + 7 = 7 7 + -14x + -21x2 = -7 + 14x + 21x2 + 7 + -14x + -21x2 Reorder the terms: 7 + -14x + -21x2 = -7 + 7 + 14x + -14x + 21x2 + -21x2 Combine like terms: -7 + 7 = 0 7 + -14x + -21x2 = 0 + 14x + -14x + 21x2 + -21x2 7 + -14x + -21x2 = 14x + -14x + 21x2 + -21x2 Combine like terms: 14x + -14x = 0 7 + -14x + -21x2 = 0 + 21x2 + -21x2 7 + -14x + -21x2 = 21x2 + -21x2 Combine like terms: 21x2 + -21x2 = 0 7 + -14x + -21x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(1 + -2x + -3x2) = 0 Factor a trinomial. 7((1 + -3x)(1 + x)) = 0 Ignore the factor 7.Subproblem 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0.3333333333, -1}
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