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Simplifying 14X2 + 77X + 63 = 0 Reorder the terms: 63 + 77X + 14X2 = 0 Solving 63 + 77X + 14X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '7'. 7(9 + 11X + 2X2) = 0 Factor a trinomial. 7((9 + 2X)(1 + X)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(9 + 2X)' equal to zero and attempt to solve: Simplifying 9 + 2X = 0 Solving 9 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2X = 0 + -9 2X = 0 + -9 Combine like terms: 0 + -9 = -9 2X = -9 Divide each side by '2'. X = -4.5 Simplifying X = -4.5Subproblem 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 = {-4.5, -1}
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