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Simplifying 3x2 + 13x = 2x2 + -8x Reorder the terms: 13x + 3x2 = 2x2 + -8x Reorder the terms: 13x + 3x2 = -8x + 2x2 Solving 13x + 3x2 = -8x + 2x2 Solving for variable 'x'. Reorder the terms: 13x + 8x + 3x2 + -2x2 = -8x + 2x2 + 8x + -2x2 Combine like terms: 13x + 8x = 21x 21x + 3x2 + -2x2 = -8x + 2x2 + 8x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 21x + 1x2 = -8x + 2x2 + 8x + -2x2 Reorder the terms: 21x + 1x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 21x + 1x2 = 0 + 2x2 + -2x2 21x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 21x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(21 + x) = 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 '(21 + x)' equal to zero and attempt to solve: Simplifying 21 + x = 0 Solving 21 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x = 0 + -21 x = 0 + -21 Combine like terms: 0 + -21 = -21 x = -21 Simplifying x = -21Solution
x = {0, -21}
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