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Simplifying 7(x2 + 4x + 4) + -12 = 16 Reorder the terms: 7(4 + 4x + x2) + -12 = 16 (4 * 7 + 4x * 7 + x2 * 7) + -12 = 16 (28 + 28x + 7x2) + -12 = 16 Reorder the terms: 28 + -12 + 28x + 7x2 = 16 Combine like terms: 28 + -12 = 16 16 + 28x + 7x2 = 16 Add '-16' to each side of the equation. 16 + 28x + -16 + 7x2 = 16 + -16 Reorder the terms: 16 + -16 + 28x + 7x2 = 16 + -16 Combine like terms: 16 + -16 = 0 0 + 28x + 7x2 = 16 + -16 28x + 7x2 = 16 + -16 Combine like terms: 16 + -16 = 0 28x + 7x2 = 0 Solving 28x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0, -4}
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