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Simplifying x(4x + 4) + -48 = -48 Reorder the terms: x(4 + 4x) + -48 = -48 (4 * x + 4x * x) + -48 = -48 (4x + 4x2) + -48 = -48 Reorder the terms: -48 + 4x + 4x2 = -48 Add '48' to each side of the equation. -48 + 4x + 48 + 4x2 = -48 + 48 Reorder the terms: -48 + 48 + 4x + 4x2 = -48 + 48 Combine like terms: -48 + 48 = 0 0 + 4x + 4x2 = -48 + 48 4x + 4x2 = -48 + 48 Combine like terms: -48 + 48 = 0 4x + 4x2 = 0 Solving 4x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(1 + x) = 0 Ignore the factor 4.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 '(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 = {0, -1}
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