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Simplifying (7x + 2)(x + 6) = 12 Reorder the terms: (2 + 7x)(x + 6) = 12 Reorder the terms: (2 + 7x)(6 + x) = 12 Multiply (2 + 7x) * (6 + x) (2(6 + x) + 7x * (6 + x)) = 12 ((6 * 2 + x * 2) + 7x * (6 + x)) = 12 ((12 + 2x) + 7x * (6 + x)) = 12 (12 + 2x + (6 * 7x + x * 7x)) = 12 (12 + 2x + (42x + 7x2)) = 12 Combine like terms: 2x + 42x = 44x (12 + 44x + 7x2) = 12 Add '-12' to each side of the equation. 12 + 44x + -12 + 7x2 = 12 + -12 Reorder the terms: 12 + -12 + 44x + 7x2 = 12 + -12 Combine like terms: 12 + -12 = 0 0 + 44x + 7x2 = 12 + -12 44x + 7x2 = 12 + -12 Combine like terms: 12 + -12 = 0 44x + 7x2 = 0 Solving 44x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(44 + 7x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(44 + 7x)' equal to zero and attempt to solve: Simplifying 44 + 7x = 0 Solving 44 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 7x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 7x = 0 + -44 7x = 0 + -44 Combine like terms: 0 + -44 = -44 7x = -44 Divide each side by '7'. x = -6.285714286 Simplifying x = -6.285714286Solution
x = {0, -6.285714286}
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