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Simplifying 16x2 + 21x = -8x2 + -3x Reorder the terms: 21x + 16x2 = -8x2 + -3x Reorder the terms: 21x + 16x2 = -3x + -8x2 Solving 21x + 16x2 = -3x + -8x2 Solving for variable 'x'. Reorder the terms: 21x + 3x + 16x2 + 8x2 = -3x + -8x2 + 3x + 8x2 Combine like terms: 21x + 3x = 24x 24x + 16x2 + 8x2 = -3x + -8x2 + 3x + 8x2 Combine like terms: 16x2 + 8x2 = 24x2 24x + 24x2 = -3x + -8x2 + 3x + 8x2 Reorder the terms: 24x + 24x2 = -3x + 3x + -8x2 + 8x2 Combine like terms: -3x + 3x = 0 24x + 24x2 = 0 + -8x2 + 8x2 24x + 24x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 24x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '24x'. 24x(1 + x) = 0 Ignore the factor 24.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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