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Simplifying x + 3 = 2x2 + 3 Reorder the terms: 3 + x = 2x2 + 3 Reorder the terms: 3 + x = 3 + 2x2 Add '-3' to each side of the equation. 3 + -3 + x = 3 + -3 + 2x2 Combine like terms: 3 + -3 = 0 0 + x = 3 + -3 + 2x2 x = 3 + -3 + 2x2 Combine like terms: 3 + -3 = 0 x = 0 + 2x2 x = 2x2 Solving x = 2x2 Solving for variable 'x'. Combine like terms: 2x2 + -2x2 = 0 x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -2x) = 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 '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, 0.5}
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