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Simplifying 0 = 42x2 + -14x + -56 Reorder the terms: 0 = -56 + -14x + 42x2 Solving 0 = -56 + -14x + 42x2 Solving for variable 'x'. Combine like terms: 0 + 56 = 56 56 + 14x + -42x2 = -56 + -14x + 42x2 + 56 + 14x + -42x2 Reorder the terms: 56 + 14x + -42x2 = -56 + 56 + -14x + 14x + 42x2 + -42x2 Combine like terms: -56 + 56 = 0 56 + 14x + -42x2 = 0 + -14x + 14x + 42x2 + -42x2 56 + 14x + -42x2 = -14x + 14x + 42x2 + -42x2 Combine like terms: -14x + 14x = 0 56 + 14x + -42x2 = 0 + 42x2 + -42x2 56 + 14x + -42x2 = 42x2 + -42x2 Combine like terms: 42x2 + -42x2 = 0 56 + 14x + -42x2 = 0 Factor out the Greatest Common Factor (GCF), '14'. 14(4 + x + -3x2) = 0 Factor a trinomial. 14((4 + -3x)(1 + x)) = 0 Ignore the factor 14.Subproblem 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 + 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 = {1.333333333, -1}
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