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Simplifying 14x + 7(x2 + 3x + 3) = 21 Reorder the terms: 14x + 7(3 + 3x + x2) = 21 14x + (3 * 7 + 3x * 7 + x2 * 7) = 21 14x + (21 + 21x + 7x2) = 21 Reorder the terms: 21 + 14x + 21x + 7x2 = 21 Combine like terms: 14x + 21x = 35x 21 + 35x + 7x2 = 21 Add '-21' to each side of the equation. 21 + 35x + -21 + 7x2 = 21 + -21 Reorder the terms: 21 + -21 + 35x + 7x2 = 21 + -21 Combine like terms: 21 + -21 = 0 0 + 35x + 7x2 = 21 + -21 35x + 7x2 = 21 + -21 Combine like terms: 21 + -21 = 0 35x + 7x2 = 0 Solving 35x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(5 + x) = 0 Ignore the factor 7.Subproblem 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, -5}
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