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Simplifying 2x2 + 6x + 3 = 3 + x2 Reorder the terms: 3 + 6x + 2x2 = 3 + x2 Add '-3' to each side of the equation. 3 + 6x + -3 + 2x2 = 3 + -3 + x2 Reorder the terms: 3 + -3 + 6x + 2x2 = 3 + -3 + x2 Combine like terms: 3 + -3 = 0 0 + 6x + 2x2 = 3 + -3 + x2 6x + 2x2 = 3 + -3 + x2 Combine like terms: 3 + -3 = 0 6x + 2x2 = 0 + x2 6x + 2x2 = x2 Solving 6x + 2x2 = x2 Solving for variable 'x'. Combine like terms: 2x2 + -1x2 = 1x2 6x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(6 + 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0, -6}
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