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Simplifying 0 = 3x2 + 7x + 4 Reorder the terms: 0 = 4 + 7x + 3x2 Solving 0 = 4 + 7x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -4 = -4 -4 + -7x + -3x2 = 4 + 7x + 3x2 + -4 + -7x + -3x2 Reorder the terms: -4 + -7x + -3x2 = 4 + -4 + 7x + -7x + 3x2 + -3x2 Combine like terms: 4 + -4 = 0 -4 + -7x + -3x2 = 0 + 7x + -7x + 3x2 + -3x2 -4 + -7x + -3x2 = 7x + -7x + 3x2 + -3x2 Combine like terms: 7x + -7x = 0 -4 + -7x + -3x2 = 0 + 3x2 + -3x2 -4 + -7x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4 + -7x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 7x + 3x2) = 0 Factor a trinomial. -1((4 + 3x)(1 + x)) = 0 Ignore the factor -1.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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