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Simplifying 14x2 + 30x = -16 Reorder the terms: 30x + 14x2 = -16 Solving 30x + 14x2 = -16 Solving for variable 'x'. Reorder the terms: 16 + 30x + 14x2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 30x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 15x + 7x2) = 0 Factor a trinomial. 2((8 + 7x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 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 = {-1.142857143, -1}
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